6(4m+9)=3(5m+24)

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Solution for 6(4m+9)=3(5m+24) equation:


Simplifying
6(4m + 9) = 3(5m + 24)

Reorder the terms:
6(9 + 4m) = 3(5m + 24)
(9 * 6 + 4m * 6) = 3(5m + 24)
(54 + 24m) = 3(5m + 24)

Reorder the terms:
54 + 24m = 3(24 + 5m)
54 + 24m = (24 * 3 + 5m * 3)
54 + 24m = (72 + 15m)

Solving
54 + 24m = 72 + 15m

Solving for variable 'm'.

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

Add '-15m' to each side of the equation.
54 + 24m + -15m = 72 + 15m + -15m

Combine like terms: 24m + -15m = 9m
54 + 9m = 72 + 15m + -15m

Combine like terms: 15m + -15m = 0
54 + 9m = 72 + 0
54 + 9m = 72

Add '-54' to each side of the equation.
54 + -54 + 9m = 72 + -54

Combine like terms: 54 + -54 = 0
0 + 9m = 72 + -54
9m = 72 + -54

Combine like terms: 72 + -54 = 18
9m = 18

Divide each side by '9'.
m = 2

Simplifying
m = 2

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