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

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


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

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

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

Reorder the terms:
4 + 4m = -2 + -3 + 2m

Combine like terms: -2 + -3 = -5
4 + 4m = -5 + 2m

Solving
4 + 4m = -5 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
4 + 4m + -2m = -5 + 2m + -2m

Combine like terms: 4m + -2m = 2m
4 + 2m = -5 + 2m + -2m

Combine like terms: 2m + -2m = 0
4 + 2m = -5 + 0
4 + 2m = -5

Add '-4' to each side of the equation.
4 + -4 + 2m = -5 + -4

Combine like terms: 4 + -4 = 0
0 + 2m = -5 + -4
2m = -5 + -4

Combine like terms: -5 + -4 = -9
2m = -9

Divide each side by '2'.
m = -4.5

Simplifying
m = -4.5

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