2(9m-1)+7(n+6)=-60

Solution for 2(9m-1)+7(n+6)=-60 equation:

Simplifying
2(9m + -1) + 7(n + 6) = -60

Reorder the terms:
2(-1 + 9m) + 7(n + 6) = -60
(-1 * 2 + 9m * 2) + 7(n + 6) = -60
(-2 + 18m) + 7(n + 6) = -60

Reorder the terms:
-2 + 18m + 7(6 + n) = -60
-2 + 18m + (6 * 7 + n * 7) = -60
-2 + 18m + (42 + 7n) = -60

Reorder the terms:
-2 + 42 + 18m + 7n = -60

Combine like terms: -2 + 42 = 40
40 + 18m + 7n = -60

Solving
40 + 18m + 7n = -60

Solving for variable 'm'.

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

Add '-40' to each side of the equation.
40 + 18m + -40 + 7n = -60 + -40

Reorder the terms:
40 + -40 + 18m + 7n = -60 + -40

Combine like terms: 40 + -40 = 0
0 + 18m + 7n = -60 + -40
18m + 7n = -60 + -40

Combine like terms: -60 + -40 = -100
18m + 7n = -100

Add '-7n' to each side of the equation.
18m + 7n + -7n = -100 + -7n

Combine like terms: 7n + -7n = 0
18m + 0 = -100 + -7n
18m = -100 + -7n

Divide each side by '18'.
m = -5.555555556 + -0.3888888889n

Simplifying
m = -5.555555556 + -0.3888888889n