3(m-13)+2(m-7)=7

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Solution for 3(m-13)+2(m-7)=7 equation:


Simplifying
3(m + -13) + 2(m + -7) = 7

Reorder the terms:
3(-13 + m) + 2(m + -7) = 7
(-13 * 3 + m * 3) + 2(m + -7) = 7
(-39 + 3m) + 2(m + -7) = 7

Reorder the terms:
-39 + 3m + 2(-7 + m) = 7
-39 + 3m + (-7 * 2 + m * 2) = 7
-39 + 3m + (-14 + 2m) = 7

Reorder the terms:
-39 + -14 + 3m + 2m = 7

Combine like terms: -39 + -14 = -53
-53 + 3m + 2m = 7

Combine like terms: 3m + 2m = 5m
-53 + 5m = 7

Solving
-53 + 5m = 7

Solving for variable 'm'.

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

Add '53' to each side of the equation.
-53 + 53 + 5m = 7 + 53

Combine like terms: -53 + 53 = 0
0 + 5m = 7 + 53
5m = 7 + 53

Combine like terms: 7 + 53 = 60
5m = 60

Divide each side by '5'.
m = 12

Simplifying
m = 12

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