m=5(4+m)+2

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Solution for m=5(4+m)+2 equation:


Simplifying
m = 5(4 + m) + 2
m = (4 * 5 + m * 5) + 2
m = (20 + 5m) + 2

Reorder the terms:
m = 20 + 2 + 5m

Combine like terms: 20 + 2 = 22
m = 22 + 5m

Solving
m = 22 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
m + -5m = 22 + 5m + -5m

Combine like terms: m + -5m = -4m
-4m = 22 + 5m + -5m

Combine like terms: 5m + -5m = 0
-4m = 22 + 0
-4m = 22

Divide each side by '-4'.
m = -5.5

Simplifying
m = -5.5

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