(7m-112)-(36m-6)=3

Solution for (7m-112)-(36m-6)=3 equation:

Simplifying
(7m + -112) + -1(36m + -6) = 3

Reorder the terms:
(-112 + 7m) + -1(36m + -6) = 3

Remove parenthesis around (-112 + 7m)
-112 + 7m + -1(36m + -6) = 3

Reorder the terms:
-112 + 7m + -1(-6 + 36m) = 3
-112 + 7m + (-6 * -1 + 36m * -1) = 3
-112 + 7m + (6 + -36m) = 3

Reorder the terms:
-112 + 6 + 7m + -36m = 3

Combine like terms: -112 + 6 = -106
-106 + 7m + -36m = 3

Combine like terms: 7m + -36m = -29m
-106 + -29m = 3

Solving
-106 + -29m = 3

Solving for variable 'm'.

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

Add '106' to each side of the equation.
-106 + 106 + -29m = 3 + 106

Combine like terms: -106 + 106 = 0
0 + -29m = 3 + 106
-29m = 3 + 106

Combine like terms: 3 + 106 = 109
-29m = 109

Divide each side by '-29'.
m = -3.75862069

Simplifying
m = -3.75862069