3(2m+1)+15=4(m-8)

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Solution for 3(2m+1)+15=4(m-8) equation:


Simplifying
3(2m + 1) + 15 = 4(m + -8)

Reorder the terms:
3(1 + 2m) + 15 = 4(m + -8)
(1 * 3 + 2m * 3) + 15 = 4(m + -8)
(3 + 6m) + 15 = 4(m + -8)

Reorder the terms:
3 + 15 + 6m = 4(m + -8)

Combine like terms: 3 + 15 = 18
18 + 6m = 4(m + -8)

Reorder the terms:
18 + 6m = 4(-8 + m)
18 + 6m = (-8 * 4 + m * 4)
18 + 6m = (-32 + 4m)

Solving
18 + 6m = -32 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
18 + 6m + -4m = -32 + 4m + -4m

Combine like terms: 6m + -4m = 2m
18 + 2m = -32 + 4m + -4m

Combine like terms: 4m + -4m = 0
18 + 2m = -32 + 0
18 + 2m = -32

Add '-18' to each side of the equation.
18 + -18 + 2m = -32 + -18

Combine like terms: 18 + -18 = 0
0 + 2m = -32 + -18
2m = -32 + -18

Combine like terms: -32 + -18 = -50
2m = -50

Divide each side by '2'.
m = -25

Simplifying
m = -25

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