Math / Algebra

QuestionSolve for $m$ . $\begin{array}{l} -4 m+15=-9 m-15 \\ m=\square \end{array}$ Submit

Studdy Solution

STEP 1

What is this asking? We need to find the value of $m$ that makes the equation $-4m + 15 = -9m - 15$ true. Watch out! Don't forget to double-check your signs when moving terms around!
A little slip-up can lead to a wrong answer.

STEP 2

1. Isolate the variable term
2. Solve for $m$

STEP 3

Alright, let's wrangle those $m$ terms!
We want them all on one side of the equation.
We've got $-4m$ on the left and $-9m$ on the right.
Let's add $9m$ to both sides of the equation.
Remember, what we do to one side, we must do to the other to keep things balanced!
$-4m + 15 + 9m = -9m - 15 + 9m$

STEP 4

Now, let's simplify!
On the left side, $-4m + 9m$ gives us $5m$ .
On the right side, $-9m + 9m$ adds to zero, leaving us with just $-15$ .
$5m + 15 = -15$

STEP 5

Next, we want that $m$ all alone!
Let's subtract $15$ from both sides to move the constant term over.
$5m + 15 - 15 = -15 - 15$

STEP 6

This simplifies to:
$5m = -30$

STEP 7

So, $m = -6$ is the value that makes our original equation true!

Was this helpful?

QuestionSolve for $m$ . $\begin{array}{l} -4 m+15=-9 m-15 \\ m=\square \end{array}$ Submit

Studdy Solution

STEP 1

What is this asking? We need to find the value of $m$ that makes the equation $-4m + 15 = -9m - 15$ true. Watch out! Don't forget to double-check your signs when moving terms around!
A little slip-up can lead to a wrong answer.

STEP 2

1. Isolate the variable term
2. Solve for $m$

STEP 3

Alright, let's wrangle those $m$ terms!
We want them all on one side of the equation.
We've got $-4m$ on the left and $-9m$ on the right.
Let's add $9m$ to both sides of the equation.
Remember, what we do to one side, we must do to the other to keep things balanced!
$-4m + 15 + 9m = -9m - 15 + 9m$

STEP 4

Now, let's simplify!
On the left side, $-4m + 9m$ gives us $5m$ .
On the right side, $-9m + 9m$ adds to zero, leaving us with just $-15$ .
$5m + 15 = -15$

STEP 5

Next, we want that $m$ all alone!
Let's subtract $15$ from both sides to move the constant term over.
$5m + 15 - 15 = -15 - 15$

STEP 6

This simplifies to:
$5m = -30$

STEP 7

So, $m = -6$ is the value that makes our original equation true!

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve for mmm. −4m+15=−9m−15m=□\begin{array}{l} -4 m+15=-9 m-15 \\ m=\square \end{array}−4m+15=−9m−15m=□​ Submit

Studdy Solution

STEP 1

What is this asking? We need to find the value of mmm that makes the equation −4m+15=−9m−15-4m + 15 = -9m - 15−4m+15=−9m−15 true. Watch out! Don't forget to double-check your signs when moving terms around!A little slip-up can lead to a wrong answer.

STEP 2

1. Isolate the variable term2. Solve for mmm

STEP 3

STEP 4

Now, let's simplify!On the left side, −4m+9m-4m + 9m−4m+9m gives us 5m5m5m.On the right side, −9m+9m-9m + 9m−9m+9m adds to zero, leaving us with just −15-15−15.5m+15=−155m + 15 = -155m+15=−15

STEP 5

Next, we want that mmm all alone!Let's subtract 151515 from both sides to move the **constant term** over.5m+15−15=−15−155m + 15 - 15 = -15 - 155m+15−15=−15−15

STEP 6

This simplifies to:5m=−305m = -305m=−30

STEP 7

So, m=−6m = -6m=−6 is the value that makes our original equation true!

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve for $m$ . $\begin{array}{l} -4 m+15=-9 m-15 \\ m=\square \end{array}$ Submit

What is this asking? We need to find the value of $m$ that makes the equation $-4m + 15 = -9m - 15$ true. Watch out! Don't forget to double-check your signs when moving terms around!
A little slip-up can lead to a wrong answer.

1. Isolate the variable term
2. Solve for $m$

Now, let's simplify!
On the left side, $-4m + 9m$ gives us $5m$ .
On the right side, $-9m + 9m$ adds to zero, leaving us with just $-15$ .
$5m + 15 = -15$

Next, we want that $m$ all alone!
Let's subtract $15$ from both sides to move the constant term over.
$5m + 15 - 15 = -15 - 15$

This simplifies to:
$5m = -30$

So, $m = -6$ is the value that makes our original equation true!