Solve the following equations: 3m + 4 = 8m + 24
Answers
Answer:
Step-by-step explanation:
Simplifying
3m + 4 = 8m + 24
Reorder the terms:
4 + 3m = 8m + 24
Reorder the terms:
4 + 3m = 24 + 8m
Solving
4 + 3m = 24 + 8m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-8m' to each side of the equation.
4 + 3m + -8m = 24 + 8m + -8m
Combine like terms: 3m + -8m = -5m
4 + -5m = 24 + 8m + -8m
Combine like terms: 8m + -8m = 0
4 + -5m = 24 + 0
4 + -5m = 24
Add '-4' to each side of the equation.
4 + -4 + -5m = 24 + -4
Combine like terms: 4 + -4 = 0
0 + -5m = 24 + -4
-5m = 24 + -4
Combine like terms: 24 + -4 = 20
-5m = 20
Divide each side by '-5'.
m = -4
Simplifying
m = -4
Answer:
3m + 4 = 8m + 24
4 - 24 = 8m - 3m
-20 = 5m
m = -20/5
m = -4
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