Question Solve the linear equation $-10 = -10 + 7m$ for the unknown variable $m$ .

Studdy Solution

STEP 1

Assumptions
1. We are given the equation $-10=-10+7m$ .
2. We need to solve for the variable $m$ .

STEP 2

Isolate the variable $m$ on one side of the equation by moving all other terms to the opposite side.

STEP 3

Add $10$ to both sides of the equation to cancel out the $-10$ on the right side.
$-10 + 10 = -10 + 10 + 7m$

STEP 4

Simplify both sides of the equation.
$0 = 0 + 7m$

STEP 5

Since $0$ does not affect the value of $7m$ , we can simplify further.
$0 = 7m$

STEP 6

Divide both sides by $7$ to solve for $m$ .
$\frac{0}{7} = \frac{7m}{7}$

STEP 7

Simplify both sides of the equation.
$0 = m$
The solution to the equation $-10=-10+7m$ is $m=0$ .

Was this helpful?

Question Solve the linear equation $-10 = -10 + 7m$ for the unknown variable $m$ .

Studdy Solution

STEP 1

Assumptions
1. We are given the equation $-10=-10+7m$ .
2. We need to solve for the variable $m$ .

STEP 2

Isolate the variable $m$ on one side of the equation by moving all other terms to the opposite side.

STEP 3

Add $10$ to both sides of the equation to cancel out the $-10$ on the right side.
$-10 + 10 = -10 + 10 + 7m$

STEP 4

Simplify both sides of the equation.
$0 = 0 + 7m$

STEP 5

Since $0$ does not affect the value of $7m$ , we can simplify further.
$0 = 7m$

STEP 6

Divide both sides by $7$ to solve for $m$ .
$\frac{0}{7} = \frac{7m}{7}$

STEP 7

Simplify both sides of the equation.
$0 = m$
The solution to the equation $-10=-10+7m$ is $m=0$ .

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.

Question Solve the linear equation −10=−10+7m-10 = -10 + 7m−10=−10+7m for the unknown variable mmm.

Studdy Solution

STEP 1

Assumptions1. We are given the equation −10=−10+7m-10=-10+7m−10=−10+7m.2. We need to solve for the variable mmm.

STEP 2

Isolate the variable mmm on one side of the equation by moving all other terms to the opposite side.

STEP 3

Add 101010 to both sides of the equation to cancel out the −10-10−10 on the right side.−10+10=−10+10+7m-10 + 10 = -10 + 10 + 7m−10+10=−10+10+7m

STEP 4

Simplify both sides of the equation.0=0+7m0 = 0 + 7m0=0+7m

STEP 5

Since 000 does not affect the value of 7m7m7m, we can simplify further.0=7m0 = 7m0=7m

STEP 6

Divide both sides by 777 to solve for mmm.07=7m7\frac{0}{7} = \frac{7m}{7}70​=77m​

STEP 7

Simplify both sides of the equation.0=m0 = m0=mThe solution to the equation −10=−10+7m-10=-10+7m−10=−10+7m is m=0m=0m=0.

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.

Question Solve the linear equation $-10 = -10 + 7m$ for the unknown variable $m$ .

Assumptions
1. We are given the equation $-10=-10+7m$ .
2. We need to solve for the variable $m$ .

Isolate the variable $m$ on one side of the equation by moving all other terms to the opposite side.

Add $10$ to both sides of the equation to cancel out the $-10$ on the right side.
$-10 + 10 = -10 + 10 + 7m$

Simplify both sides of the equation.
$0 = 0 + 7m$

Since $0$ does not affect the value of $7m$ , we can simplify further.
$0 = 7m$

Divide both sides by $7$ to solve for $m$ .
$\frac{0}{7} = \frac{7m}{7}$

Simplify both sides of the equation.
$0 = m$
The solution to the equation $-10=-10+7m$ is $m=0$ .