6+7(m-3)=2m+10

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Solution for 6+7(m-3)=2m+10 equation: 


Simplifying
6 + 7(m + -3) = 2m + 10

Reorder the terms:
6 + 7(-3 + m) = 2m + 10
6 + (-3 * 7 + m * 7) = 2m + 10
6 + (-21 + 7m) = 2m + 10

Combine like terms: 6 + -21 = -15
-15 + 7m = 2m + 10

Reorder the terms:
-15 + 7m = 10 + 2m

Solving
-15 + 7m = 10 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
-15 + 7m + -2m = 10 + 2m + -2m

Combine like terms: 7m + -2m = 5m
-15 + 5m = 10 + 2m + -2m

Combine like terms: 2m + -2m = 0
-15 + 5m = 10 + 0
-15 + 5m = 10

Add '15' to each side of the equation.
-15 + 15 + 5m = 10 + 15

Combine like terms: -15 + 15 = 0
0 + 5m = 10 + 15
5m = 10 + 15

Combine like terms: 10 + 15 = 25
5m = 25

Divide each side by '5'.
m = 5

Simplifying
m = 5

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