4(1+6m)=-7+7(3m+2)

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Solution for 4(1+6m)=-7+7(3m+2) equation: 


Simplifying
4(1 + 6m) = -7 + 7(3m + 2)
(1 * 4 + 6m * 4) = -7 + 7(3m + 2)
(4 + 24m) = -7 + 7(3m + 2)

Reorder the terms:
4 + 24m = -7 + 7(2 + 3m)
4 + 24m = -7 + (2 * 7 + 3m * 7)
4 + 24m = -7 + (14 + 21m)

Combine like terms: -7 + 14 = 7
4 + 24m = 7 + 21m

Solving
4 + 24m = 7 + 21m

Solving for variable 'm'.

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

Add '-21m' to each side of the equation.
4 + 24m + -21m = 7 + 21m + -21m

Combine like terms: 24m + -21m = 3m
4 + 3m = 7 + 21m + -21m

Combine like terms: 21m + -21m = 0
4 + 3m = 7 + 0
4 + 3m = 7

Add '-4' to each side of the equation.
4 + -4 + 3m = 7 + -4

Combine like terms: 4 + -4 = 0
0 + 3m = 7 + -4
3m = 7 + -4

Combine like terms: 7 + -4 = 3
3m = 3

Divide each side by '3'.
m = 1

Simplifying
m = 1

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