4(m-22)-5(4m-16)=40

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Solution for 4(m-22)-5(4m-16)=40 equation: 


Simplifying
4(m + -22) + -5(4m + -16) = 40

Reorder the terms:
4(-22 + m) + -5(4m + -16) = 40
(-22 * 4 + m * 4) + -5(4m + -16) = 40
(-88 + 4m) + -5(4m + -16) = 40

Reorder the terms:
-88 + 4m + -5(-16 + 4m) = 40
-88 + 4m + (-16 * -5 + 4m * -5) = 40
-88 + 4m + (80 + -20m) = 40

Reorder the terms:
-88 + 80 + 4m + -20m = 40

Combine like terms: -88 + 80 = -8
-8 + 4m + -20m = 40

Combine like terms: 4m + -20m = -16m
-8 + -16m = 40

Solving
-8 + -16m = 40

Solving for variable 'm'.

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

Add '8' to each side of the equation.
-8 + 8 + -16m = 40 + 8

Combine like terms: -8 + 8 = 0
0 + -16m = 40 + 8
-16m = 40 + 8

Combine like terms: 40 + 8 = 48
-16m = 48

Divide each side by '-16'.
m = -3

Simplifying
m = -3

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