5-6(m+3)=2m-11

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Solution for 5-6(m+3)=2m-11 equation:


Simplifying
5 + -6(m + 3) = 2m + -11

Reorder the terms:
5 + -6(3 + m) = 2m + -11
5 + (3 * -6 + m * -6) = 2m + -11
5 + (-18 + -6m) = 2m + -11

Combine like terms: 5 + -18 = -13
-13 + -6m = 2m + -11

Reorder the terms:
-13 + -6m = -11 + 2m

Solving
-13 + -6m = -11 + 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.
-13 + -6m + -2m = -11 + 2m + -2m

Combine like terms: -6m + -2m = -8m
-13 + -8m = -11 + 2m + -2m

Combine like terms: 2m + -2m = 0
-13 + -8m = -11 + 0
-13 + -8m = -11

Add '13' to each side of the equation.
-13 + 13 + -8m = -11 + 13

Combine like terms: -13 + 13 = 0
0 + -8m = -11 + 13
-8m = -11 + 13

Combine like terms: -11 + 13 = 2
-8m = 2

Divide each side by '-8'.
m = -0.25

Simplifying
m = -0.25

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