-82=-6(2m+1)+8

Solution for -82=-6(2m+1)+8 equation:

Simplifying
-82 = -6(2m + 1) + 8

Reorder the terms:
-82 = -6(1 + 2m) + 8
-82 = (1 * -6 + 2m * -6) + 8
-82 = (-6 + -12m) + 8

Reorder the terms:
-82 = -6 + 8 + -12m

Combine like terms: -6 + 8 = 2
-82 = 2 + -12m

Solving
-82 = 2 + -12m

Solving for variable 'm'.

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

Add '12m' to each side of the equation.
-82 + 12m = 2 + -12m + 12m

Combine like terms: -12m + 12m = 0
-82 + 12m = 2 + 0
-82 + 12m = 2

Add '82' to each side of the equation.
-82 + 82 + 12m = 2 + 82

Combine like terms: -82 + 82 = 0
0 + 12m = 2 + 82
12m = 2 + 82

Combine like terms: 2 + 82 = 84
12m = 84

Divide each side by '12'.
m = 7

Simplifying
m = 7