4(m+9)=-3(m-4)

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


Simplifying
4(m + 9) = -3(m + -4)

Reorder the terms:
4(9 + m) = -3(m + -4)
(9 * 4 + m * 4) = -3(m + -4)
(36 + 4m) = -3(m + -4)

Reorder the terms:
36 + 4m = -3(-4 + m)
36 + 4m = (-4 * -3 + m * -3)
36 + 4m = (12 + -3m)

Solving
36 + 4m = 12 + -3m

Solving for variable 'm'.

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

Add '3m' to each side of the equation.
36 + 4m + 3m = 12 + -3m + 3m

Combine like terms: 4m + 3m = 7m
36 + 7m = 12 + -3m + 3m

Combine like terms: -3m + 3m = 0
36 + 7m = 12 + 0
36 + 7m = 12

Add '-36' to each side of the equation.
36 + -36 + 7m = 12 + -36

Combine like terms: 36 + -36 = 0
0 + 7m = 12 + -36
7m = 12 + -36

Combine like terms: 12 + -36 = -24
7m = -24

Divide each side by '7'.
m = -3.428571429

Simplifying
m = -3.428571429

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