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4 votes
4 votes
What's the answer to 8m - 14=3m+46​

User Eli Acherkan
by
2.7k points

2 Answers

20 votes
20 votes

Answer:

m = 12

Explanation:

We want to isolate "m" on one side of equation to see what it is equal to.

Step 1.

Add 14 to both sides of the equation to get 8m = 3m + 60

Step 2.

Subtract 3m from both sides to get 5m = 60

Step 3.

Divide both sides by 5 to get m = 12.

User Msonic
by
2.4k points
26 votes
26 votes

Answer:

Simplifying

8m + -14 = 3m + 46

Reorder the terms:

-14 + 8m = 3m + 46

Reorder the terms:

-14 + 8m = 46 + 3m

Solving

-14 + 8m = 46 + 3m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-3m' to each side of the equation.

-14 + 8m + -3m = 46 + 3m + -3m

Combine like terms: 8m + -3m = 5m

-14 + 5m = 46 + 3m + -3m

Combine like terms: 3m + -3m = 0

-14 + 5m = 46 + 0

-14 + 5m = 46

Add '14' to each side of the equation.

-14 + 14 + 5m = 46 + 14

Combine like terms: -14 + 14 = 0

0 + 5m = 46 + 14

5m = 46 + 14

Combine like terms: 46 + 14 = 60

5m = 60

Divide each side by '5'.

m = 12

Simplifying

m = 12

User WineSoaked
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3.5k points