4(m-1)+4(m+2)=11m+10

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Solution for 4(m-1)+4(m+2)=11m+10 equation:


Simplifying
4(m + -1) + 4(m + 2) = 11m + 10

Reorder the terms:
4(-1 + m) + 4(m + 2) = 11m + 10
(-1 * 4 + m * 4) + 4(m + 2) = 11m + 10
(-4 + 4m) + 4(m + 2) = 11m + 10

Reorder the terms:
-4 + 4m + 4(2 + m) = 11m + 10
-4 + 4m + (2 * 4 + m * 4) = 11m + 10
-4 + 4m + (8 + 4m) = 11m + 10

Reorder the terms:
-4 + 8 + 4m + 4m = 11m + 10

Combine like terms: -4 + 8 = 4
4 + 4m + 4m = 11m + 10

Combine like terms: 4m + 4m = 8m
4 + 8m = 11m + 10

Reorder the terms:
4 + 8m = 10 + 11m

Solving
4 + 8m = 10 + 11m

Solving for variable 'm'.

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

Add '-11m' to each side of the equation.
4 + 8m + -11m = 10 + 11m + -11m

Combine like terms: 8m + -11m = -3m
4 + -3m = 10 + 11m + -11m

Combine like terms: 11m + -11m = 0
4 + -3m = 10 + 0
4 + -3m = 10

Add '-4' to each side of the equation.
4 + -4 + -3m = 10 + -4

Combine like terms: 4 + -4 = 0
0 + -3m = 10 + -4
-3m = 10 + -4

Combine like terms: 10 + -4 = 6
-3m = 6

Divide each side by '-3'.
m = -2

Simplifying
m = -2

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