-2(3m-8)+7(m-3)=13-6

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Solution for -2(3m-8)+7(m-3)=13-6 equation:


Simplifying
-2(3m + -8) + 7(m + -3) = 13 + -6

Reorder the terms:
-2(-8 + 3m) + 7(m + -3) = 13 + -6
(-8 * -2 + 3m * -2) + 7(m + -3) = 13 + -6
(16 + -6m) + 7(m + -3) = 13 + -6

Reorder the terms:
16 + -6m + 7(-3 + m) = 13 + -6
16 + -6m + (-3 * 7 + m * 7) = 13 + -6
16 + -6m + (-21 + 7m) = 13 + -6

Reorder the terms:
16 + -21 + -6m + 7m = 13 + -6

Combine like terms: 16 + -21 = -5
-5 + -6m + 7m = 13 + -6

Combine like terms: -6m + 7m = 1m
-5 + 1m = 13 + -6

Combine like terms: 13 + -6 = 7
-5 + 1m = 7

Solving
-5 + 1m = 7

Solving for variable 'm'.

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

Add '5' to each side of the equation.
-5 + 5 + 1m = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 1m = 7 + 5
1m = 7 + 5

Combine like terms: 7 + 5 = 12
1m = 12

Divide each side by '1'.
m = 12

Simplifying
m = 12

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