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

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


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

Reorder the terms:
3(3 + m) + 2 = -8(4m + 3)
(3 * 3 + m * 3) + 2 = -8(4m + 3)
(9 + 3m) + 2 = -8(4m + 3)

Reorder the terms:
9 + 2 + 3m = -8(4m + 3)

Combine like terms: 9 + 2 = 11
11 + 3m = -8(4m + 3)

Reorder the terms:
11 + 3m = -8(3 + 4m)
11 + 3m = (3 * -8 + 4m * -8)
11 + 3m = (-24 + -32m)

Solving
11 + 3m = -24 + -32m

Solving for variable 'm'.

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

Add '32m' to each side of the equation.
11 + 3m + 32m = -24 + -32m + 32m

Combine like terms: 3m + 32m = 35m
11 + 35m = -24 + -32m + 32m

Combine like terms: -32m + 32m = 0
11 + 35m = -24 + 0
11 + 35m = -24

Add '-11' to each side of the equation.
11 + -11 + 35m = -24 + -11

Combine like terms: 11 + -11 = 0
0 + 35m = -24 + -11
35m = -24 + -11

Combine like terms: -24 + -11 = -35
35m = -35

Divide each side by '35'.
m = -1

Simplifying
m = -1

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