QuestionSolve for $m$ . $\begin{array}{l} 8 m+6=54 \\ m= \end{array}$

Studdy Solution

STEP 1

What is this asking? We're trying to find the mystery number $m$ that makes the equation $8m + 6 = 54$ true! Watch out! Don't forget to follow the order of operations in reverse when isolating $m$ .

STEP 2

1. Isolate the term with $m$ .
2. Isolate $m$ .

STEP 3

We want to get that $m$ all alone, so let's start by getting rid of the $6$ on the left side of the equation $8m + 6 = 54$ .
Since it's added to $8m$ , we can subtract $\bf{6}$ from both sides of the equation to keep things balanced.
This is like a seesaw – if you take weight off one side, you gotta take the same weight off the other side to keep it level! $8m + 6 - 6 = 54 - 6$ $8m + 0 = 48$ $8m = 48$

STEP 4

Now, we have $8m = 48$ .
We're so close to finding $m$ !
Since $m$ is multiplied by $8$ , we can divide both sides by $\bf{8}$ to get $m$ by itself.
Remember, what we do to one side, we must do to the other! $\frac{8m}{8} = \frac{48}{8}$ $\frac{8}{8} \cdot m = 6$ $1 \cdot m = 6$ $m = 6$

STEP 5

So, we found that $m = \bf{6}$ !

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

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

Parents Influencer program Contact Policy Terms