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

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

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

Reorder the terms:
-8m + 8(7 + m) = -8m + -2(m + -3)
-8m + (7 * 8 + m * 8) = -8m + -2(m + -3)
-8m + (56 + 8m) = -8m + -2(m + -3)

Reorder the terms:
56 + -8m + 8m = -8m + -2(m + -3)

Combine like terms: -8m + 8m = 0
56 + 0 = -8m + -2(m + -3)
56 = -8m + -2(m + -3)

Reorder the terms:
56 = -8m + -2(-3 + m)
56 = -8m + (-3 * -2 + m * -2)
56 = -8m + (6 + -2m)

Reorder the terms:
56 = 6 + -8m + -2m

Combine like terms: -8m + -2m = -10m
56 = 6 + -10m

Solving
56 = 6 + -10m

Solving for variable 'm'.

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

Add '10m' to each side of the equation.
56 + 10m = 6 + -10m + 10m

Combine like terms: -10m + 10m = 0
56 + 10m = 6 + 0
56 + 10m = 6

Add '-56' to each side of the equation.
56 + -56 + 10m = 6 + -56

Combine like terms: 56 + -56 = 0
0 + 10m = 6 + -56
10m = 6 + -56

Combine like terms: 6 + -56 = -50
10m = -50

Divide each side by '10'.
m = -5

Simplifying
m = -5