7(-6+m)+3(m-3)=-61

Solution for 7(-6+m)+3(m-3)=-61 equation:

Simplifying
7(-6 + m) + 3(m + -3) = -61
(-6 * 7 + m * 7) + 3(m + -3) = -61
(-42 + 7m) + 3(m + -3) = -61

Reorder the terms:
-42 + 7m + 3(-3 + m) = -61
-42 + 7m + (-3 * 3 + m * 3) = -61
-42 + 7m + (-9 + 3m) = -61

Reorder the terms:
-42 + -9 + 7m + 3m = -61

Combine like terms: -42 + -9 = -51
-51 + 7m + 3m = -61

Combine like terms: 7m + 3m = 10m
-51 + 10m = -61

Solving
-51 + 10m = -61

Solving for variable 'm'.

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

Add '51' to each side of the equation.
-51 + 51 + 10m = -61 + 51

Combine like terms: -51 + 51 = 0
0 + 10m = -61 + 51
10m = -61 + 51

Combine like terms: -61 + 51 = -10
10m = -10

Divide each side by '10'.
m = -1

Simplifying
m = -1