4(m+8)-9(-3m-3)=30(m+3)-6

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Solution for 4(m+8)-9(-3m-3)=30(m+3)-6 equation: 


Simplifying
4(m + 8) + -9(-3m + -3) = 30(m + 3) + -6

Reorder the terms:
4(8 + m) + -9(-3m + -3) = 30(m + 3) + -6
(8 * 4 + m * 4) + -9(-3m + -3) = 30(m + 3) + -6
(32 + 4m) + -9(-3m + -3) = 30(m + 3) + -6

Reorder the terms:
32 + 4m + -9(-3 + -3m) = 30(m + 3) + -6
32 + 4m + (-3 * -9 + -3m * -9) = 30(m + 3) + -6
32 + 4m + (27 + 27m) = 30(m + 3) + -6

Reorder the terms:
32 + 27 + 4m + 27m = 30(m + 3) + -6

Combine like terms: 32 + 27 = 59
59 + 4m + 27m = 30(m + 3) + -6

Combine like terms: 4m + 27m = 31m
59 + 31m = 30(m + 3) + -6

Reorder the terms:
59 + 31m = 30(3 + m) + -6
59 + 31m = (3 * 30 + m * 30) + -6
59 + 31m = (90 + 30m) + -6

Reorder the terms:
59 + 31m = 90 + -6 + 30m

Combine like terms: 90 + -6 = 84
59 + 31m = 84 + 30m

Solving
59 + 31m = 84 + 30m

Solving for variable 'm'.

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

Add '-30m' to each side of the equation.
59 + 31m + -30m = 84 + 30m + -30m

Combine like terms: 31m + -30m = 1m
59 + 1m = 84 + 30m + -30m

Combine like terms: 30m + -30m = 0
59 + 1m = 84 + 0
59 + 1m = 84

Add '-59' to each side of the equation.
59 + -59 + 1m = 84 + -59

Combine like terms: 59 + -59 = 0
0 + 1m = 84 + -59
1m = 84 + -59

Combine like terms: 84 + -59 = 25
1m = 25

Divide each side by '1'.
m = 25

Simplifying
m = 25

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