6(2m+5n-9)+57=

Solution for 6(2m+5n-9)+57= equation:

Simplifying
6(2m + 5n + -9) + 57 = 0

Reorder the terms:
6(-9 + 2m + 5n) + 57 = 0
(-9 * 6 + 2m * 6 + 5n * 6) + 57 = 0
(-54 + 12m + 30n) + 57 = 0

Reorder the terms:
-54 + 57 + 12m + 30n = 0

Combine like terms: -54 + 57 = 3
3 + 12m + 30n = 0

Solving
3 + 12m + 30n = 0

Solving for variable 'm'.

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

Add '-3' to each side of the equation.
3 + 12m + -3 + 30n = 0 + -3

Reorder the terms:
3 + -3 + 12m + 30n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 12m + 30n = 0 + -3
12m + 30n = 0 + -3

Combine like terms: 0 + -3 = -3
12m + 30n = -3

Add '-30n' to each side of the equation.
12m + 30n + -30n = -3 + -30n

Combine like terms: 30n + -30n = 0
12m + 0 = -3 + -30n
12m = -3 + -30n

Divide each side by '12'.
m = -0.25 + -2.5n

Simplifying
m = -0.25 + -2.5n