11(m+4)=3(m-6)

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Solution for 11(m+4)=3(m-6) equation:


Simplifying
11(m + 4) = 3(m + -6)

Reorder the terms:
11(4 + m) = 3(m + -6)
(4 * 11 + m * 11) = 3(m + -6)
(44 + 11m) = 3(m + -6)

Reorder the terms:
44 + 11m = 3(-6 + m)
44 + 11m = (-6 * 3 + m * 3)
44 + 11m = (-18 + 3m)

Solving
44 + 11m = -18 + 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.
44 + 11m + -3m = -18 + 3m + -3m

Combine like terms: 11m + -3m = 8m
44 + 8m = -18 + 3m + -3m

Combine like terms: 3m + -3m = 0
44 + 8m = -18 + 0
44 + 8m = -18

Add '-44' to each side of the equation.
44 + -44 + 8m = -18 + -44

Combine like terms: 44 + -44 = 0
0 + 8m = -18 + -44
8m = -18 + -44

Combine like terms: -18 + -44 = -62
8m = -62

Divide each side by '8'.
m = -7.75

Simplifying
m = -7.75

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