2m-6(7m+1)=314

Solution for 2m-6(7m+1)=314 equation:

Simplifying
2m + -6(7m + 1) = 314

Reorder the terms:
2m + -6(1 + 7m) = 314
2m + (1 * -6 + 7m * -6) = 314
2m + (-6 + -42m) = 314

Reorder the terms:
-6 + 2m + -42m = 314

Combine like terms: 2m + -42m = -40m
-6 + -40m = 314

Solving
-6 + -40m = 314

Solving for variable 'm'.

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

Add '6' to each side of the equation.
-6 + 6 + -40m = 314 + 6

Combine like terms: -6 + 6 = 0
0 + -40m = 314 + 6
-40m = 314 + 6

Combine like terms: 314 + 6 = 320
-40m = 320

Divide each side by '-40'.
m = -8

Simplifying
m = -8