solve the following equation 8m = 40+3m
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Step-by-step explanation:
Simplifying
8m + 40 = -8(-3 + -3m)
Reorder the terms:
40 + 8m = -8(-3 + -3m)
40 + 8m = (-3 * -8 + -3m * -8)
40 + 8m = (24 + 24m)
Solving
40 + 8m = 24 + 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 + 8m + -24m = 24 + 24m + -24m
Combine like terms: 8m + -24m = -16m
40 + -16m = 24 + 24m + -24m
Combine like terms: 24m + -24m = 0
40 + -16m = 24 + 0
40 + -16m = 24
Add '-40' to each side of the equation.
40 + -40 + -16m = 24 + -40
Combine like terms: 40 + -40 = 0
0 + -16m = 24 + -40
-16m = 24 + -40
Combine like terms: 24 + -40 = -16
-16m = -16
Divide each side by '-16'.
m = 1
Simplifying
m = 1
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