4m+22=-m+2(4m+5)

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Solution for 4m+22=-m+2(4m+5) equation: 


Simplifying
4m + 22 = -1m + 2(4m + 5)

Reorder the terms:
22 + 4m = -1m + 2(4m + 5)

Reorder the terms:
22 + 4m = -1m + 2(5 + 4m)
22 + 4m = -1m + (5 * 2 + 4m * 2)
22 + 4m = -1m + (10 + 8m)

Reorder the terms:
22 + 4m = 10 + -1m + 8m

Combine like terms: -1m + 8m = 7m
22 + 4m = 10 + 7m

Solving
22 + 4m = 10 + 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.
22 + 4m + -7m = 10 + 7m + -7m

Combine like terms: 4m + -7m = -3m
22 + -3m = 10 + 7m + -7m

Combine like terms: 7m + -7m = 0
22 + -3m = 10 + 0
22 + -3m = 10

Add '-22' to each side of the equation.
22 + -22 + -3m = 10 + -22

Combine like terms: 22 + -22 = 0
0 + -3m = 10 + -22
-3m = 10 + -22

Combine like terms: 10 + -22 = -12
-3m = -12

Divide each side by '-3'.
m = 4

Simplifying
m = 4

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