21 (2m – 4) = 6 (4m – 8)
Answers
Answer:
m = 2
Step-by-step explanation:
21 (2m – 4) = 6 (4m – 8)
=> 42m - 84 = 24m - 48
=> 18m = 36
=> m = 2
Answer:
Simplifying
21(2m + -4) = 6(4m + -8)
Reorder the terms:
21(-4 + 2m) = 6(4m + -8)
(-4 * 21 + 2m * 21) = 6(4m + -8)
(-84 + 42m) = 6(4m + -8)
Reorder the terms:
-84 + 42m = 6(-8 + 4m)
-84 + 42m = (-8 * 6 + 4m * 6)
-84 + 42m = (-48 + 24m)
Solving
-84 + 42m = -48 + 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.
-84 + 42m + -24m = -48 + 24m + -24m
Combine like terms: 42m + -24m = 18m
-84 + 18m = -48 + 24m + -24m
Combine like terms: 24m + -24m = 0
-84 + 18m = -48 + 0
-84 + 18m = -48
Add '84' to each side of the equation.
-84 + 84 + 18m = -48 + 84
Combine like terms: -84 + 84 = 0
0 + 18m = -48 + 84
18m = -48 + 84
Combine like terms: -48 + 84 = 36
18m = 36
Divide each side by '18'.
m = 2
Simplifying
m = 2
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