6(6m+4)-7(m-5)=30

Solution for 6(6m+4)-7(m-5)=30 equation:

Simplifying
6(6m + 4) + -7(m + -5) = 30

Reorder the terms:
6(4 + 6m) + -7(m + -5) = 30
(4 * 6 + 6m * 6) + -7(m + -5) = 30
(24 + 36m) + -7(m + -5) = 30

Reorder the terms:
24 + 36m + -7(-5 + m) = 30
24 + 36m + (-5 * -7 + m * -7) = 30
24 + 36m + (35 + -7m) = 30

Reorder the terms:
24 + 35 + 36m + -7m = 30

Combine like terms: 24 + 35 = 59
59 + 36m + -7m = 30

Combine like terms: 36m + -7m = 29m
59 + 29m = 30

Solving
59 + 29m = 30

Solving for variable 'm'.

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

Add '-59' to each side of the equation.
59 + -59 + 29m = 30 + -59

Combine like terms: 59 + -59 = 0
0 + 29m = 30 + -59
29m = 30 + -59

Combine like terms: 30 + -59 = -29
29m = -29

Divide each side by '29'.
m = -1

Simplifying
m = -1