5[m+1]=7[m-11]

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Solution for 5[m+1]=7[m-11] equation: 


Simplifying
5[m + 1] = 7[m + -11]

Reorder the terms:
5[1 + m] = 7[m + -11]
[1 * 5 + m * 5] = 7[m + -11]
[5 + 5m] = 7[m + -11]

Reorder the terms:
5 + 5m = 7[-11 + m]
5 + 5m = [-11 * 7 + m * 7]
5 + 5m = [-77 + 7m]

Solving
5 + 5m = -77 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
5 + 5m + -7m = -77 + 7m + -7m

Combine like terms: 5m + -7m = -2m
5 + -2m = -77 + 7m + -7m

Combine like terms: 7m + -7m = 0
5 + -2m = -77 + 0
5 + -2m = -77

Add '-5' to each side of the equation.
5 + -5 + -2m = -77 + -5

Combine like terms: 5 + -5 = 0
0 + -2m = -77 + -5
-2m = -77 + -5

Combine like terms: -77 + -5 = -82
-2m = -82

Divide each side by '-2'.
m = 41

Simplifying
m = 41

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