7(m-5)=11(m+11)

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Solution for 7(m-5)=11(m+11) equation:


Simplifying
7(m + -5) = 11(m + 11)

Reorder the terms:
7(-5 + m) = 11(m + 11)
(-5 * 7 + m * 7) = 11(m + 11)
(-35 + 7m) = 11(m + 11)

Reorder the terms:
-35 + 7m = 11(11 + m)
-35 + 7m = (11 * 11 + m * 11)
-35 + 7m = (121 + 11m)

Solving
-35 + 7m = 121 + 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.
-35 + 7m + -11m = 121 + 11m + -11m

Combine like terms: 7m + -11m = -4m
-35 + -4m = 121 + 11m + -11m

Combine like terms: 11m + -11m = 0
-35 + -4m = 121 + 0
-35 + -4m = 121

Add '35' to each side of the equation.
-35 + 35 + -4m = 121 + 35

Combine like terms: -35 + 35 = 0
0 + -4m = 121 + 35
-4m = 121 + 35

Combine like terms: 121 + 35 = 156
-4m = 156

Divide each side by '-4'.
m = -39

Simplifying
m = -39

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