40-5m=3(8m-7)+3

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Solution for 40-5m=3(8m-7)+3 equation: 


Simplifying
40 + -5m = 3(8m + -7) + 3

Reorder the terms:
40 + -5m = 3(-7 + 8m) + 3
40 + -5m = (-7 * 3 + 8m * 3) + 3
40 + -5m = (-21 + 24m) + 3

Reorder the terms:
40 + -5m = -21 + 3 + 24m

Combine like terms: -21 + 3 = -18
40 + -5m = -18 + 24m

Solving
40 + -5m = -18 + 24m

Solving for variable 'm'.

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

Add '-24m' to each side of the equation.
40 + -5m + -24m = -18 + 24m + -24m

Combine like terms: -5m + -24m = -29m
40 + -29m = -18 + 24m + -24m

Combine like terms: 24m + -24m = 0
40 + -29m = -18 + 0
40 + -29m = -18

Add '-40' to each side of the equation.
40 + -40 + -29m = -18 + -40

Combine like terms: 40 + -40 = 0
0 + -29m = -18 + -40
-29m = -18 + -40

Combine like terms: -18 + -40 = -58
-29m = -58

Divide each side by '-29'.
m = 2

Simplifying
m = 2

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