-391=6(8m-1)+7m

Solution for -391=6(8m-1)+7m equation:

Simplifying
-391 = 6(8m + -1) + 7m

Reorder the terms:
-391 = 6(-1 + 8m) + 7m
-391 = (-1 * 6 + 8m * 6) + 7m
-391 = (-6 + 48m) + 7m

Combine like terms: 48m + 7m = 55m
-391 = -6 + 55m

Solving
-391 = -6 + 55m

Solving for variable 'm'.

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

Add '-55m' to each side of the equation.
-391 + -55m = -6 + 55m + -55m

Combine like terms: 55m + -55m = 0
-391 + -55m = -6 + 0
-391 + -55m = -6

Add '391' to each side of the equation.
-391 + 391 + -55m = -6 + 391

Combine like terms: -391 + 391 = 0
0 + -55m = -6 + 391
-55m = -6 + 391

Combine like terms: -6 + 391 = 385
-55m = 385

Divide each side by '-55'.
m = -7

Simplifying
m = -7