4(m+9)+6=-3(m-4)+5

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Solution for 4(m+9)+6=-3(m-4)+5 equation:


Simplifying
4(m + 9) + 6 = -3(m + -4) + 5

Reorder the terms:
4(9 + m) + 6 = -3(m + -4) + 5
(9 * 4 + m * 4) + 6 = -3(m + -4) + 5
(36 + 4m) + 6 = -3(m + -4) + 5

Reorder the terms:
36 + 6 + 4m = -3(m + -4) + 5

Combine like terms: 36 + 6 = 42
42 + 4m = -3(m + -4) + 5

Reorder the terms:
42 + 4m = -3(-4 + m) + 5
42 + 4m = (-4 * -3 + m * -3) + 5
42 + 4m = (12 + -3m) + 5

Reorder the terms:
42 + 4m = 12 + 5 + -3m

Combine like terms: 12 + 5 = 17
42 + 4m = 17 + -3m

Solving
42 + 4m = 17 + -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.
42 + 4m + 3m = 17 + -3m + 3m

Combine like terms: 4m + 3m = 7m
42 + 7m = 17 + -3m + 3m

Combine like terms: -3m + 3m = 0
42 + 7m = 17 + 0
42 + 7m = 17

Add '-42' to each side of the equation.
42 + -42 + 7m = 17 + -42

Combine like terms: 42 + -42 = 0
0 + 7m = 17 + -42
7m = 17 + -42

Combine like terms: 17 + -42 = -25
7m = -25

Divide each side by '7'.
m = -3.571428571

Simplifying
m = -3.571428571

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