2(m-8)+2(3m-9)=7(m-6)+7

Solution for 2(m-8)+2(3m-9)=7(m-6)+7 equation:

Simplifying
2(m + -8) + 2(3m + -9) = 7(m + -6) + 7

Reorder the terms:
2(-8 + m) + 2(3m + -9) = 7(m + -6) + 7
(-8 * 2 + m * 2) + 2(3m + -9) = 7(m + -6) + 7
(-16 + 2m) + 2(3m + -9) = 7(m + -6) + 7

Reorder the terms:
-16 + 2m + 2(-9 + 3m) = 7(m + -6) + 7
-16 + 2m + (-9 * 2 + 3m * 2) = 7(m + -6) + 7
-16 + 2m + (-18 + 6m) = 7(m + -6) + 7

Reorder the terms:
-16 + -18 + 2m + 6m = 7(m + -6) + 7

Combine like terms: -16 + -18 = -34
-34 + 2m + 6m = 7(m + -6) + 7

Combine like terms: 2m + 6m = 8m
-34 + 8m = 7(m + -6) + 7

Reorder the terms:
-34 + 8m = 7(-6 + m) + 7
-34 + 8m = (-6 * 7 + m * 7) + 7
-34 + 8m = (-42 + 7m) + 7

Reorder the terms:
-34 + 8m = -42 + 7 + 7m

Combine like terms: -42 + 7 = -35
-34 + 8m = -35 + 7m

Solving
-34 + 8m = -35 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
-34 + 8m + -7m = -35 + 7m + -7m

Combine like terms: 8m + -7m = 1m
-34 + 1m = -35 + 7m + -7m

Combine like terms: 7m + -7m = 0
-34 + 1m = -35 + 0
-34 + 1m = -35

Add '34' to each side of the equation.
-34 + 34 + 1m = -35 + 34

Combine like terms: -34 + 34 = 0
0 + 1m = -35 + 34
1m = -35 + 34

Combine like terms: -35 + 34 = -1
1m = -1

Divide each side by '1'.
m = -1

Simplifying
m = -1