5(6m+4n-7)+71=

Solution for 5(6m+4n-7)+71= equation:

Simplifying
5(6m + 4n + -7) + 71 = 0

Reorder the terms:
5(-7 + 6m + 4n) + 71 = 0
(-7 * 5 + 6m * 5 + 4n * 5) + 71 = 0
(-35 + 30m + 20n) + 71 = 0

Reorder the terms:
-35 + 71 + 30m + 20n = 0

Combine like terms: -35 + 71 = 36
36 + 30m + 20n = 0

Solving
36 + 30m + 20n = 0

Solving for variable 'm'.

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

Add '-36' to each side of the equation.
36 + 30m + -36 + 20n = 0 + -36

Reorder the terms:
36 + -36 + 30m + 20n = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 30m + 20n = 0 + -36
30m + 20n = 0 + -36

Combine like terms: 0 + -36 = -36
30m + 20n = -36

Add '-20n' to each side of the equation.
30m + 20n + -20n = -36 + -20n

Combine like terms: 20n + -20n = 0
30m + 0 = -36 + -20n
30m = -36 + -20n

Divide each side by '30'.
m = -1.2 + -0.6666666667n

Simplifying
m = -1.2 + -0.6666666667n