40-m=4-5(4m+8)

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Solution for 40-m=4-5(4m+8) equation: 


Simplifying
40 + -1m = 4 + -5(4m + 8)

Reorder the terms:
40 + -1m = 4 + -5(8 + 4m)
40 + -1m = 4 + (8 * -5 + 4m * -5)
40 + -1m = 4 + (-40 + -20m)

Combine like terms: 4 + -40 = -36
40 + -1m = -36 + -20m

Solving
40 + -1m = -36 + -20m

Solving for variable 'm'.

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

Add '20m' to each side of the equation.
40 + -1m + 20m = -36 + -20m + 20m

Combine like terms: -1m + 20m = 19m
40 + 19m = -36 + -20m + 20m

Combine like terms: -20m + 20m = 0
40 + 19m = -36 + 0
40 + 19m = -36

Add '-40' to each side of the equation.
40 + -40 + 19m = -36 + -40

Combine like terms: 40 + -40 = 0
0 + 19m = -36 + -40
19m = -36 + -40

Combine like terms: -36 + -40 = -76
19m = -76

Divide each side by '19'.
m = -4

Simplifying
m = -4

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