8(m-2)=3(m+3)

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Solution for 8(m-2)=3(m+3) equation:


Simplifying
8(m + -2) = 3(m + 3)

Reorder the terms:
8(-2 + m) = 3(m + 3)
(-2 * 8 + m * 8) = 3(m + 3)
(-16 + 8m) = 3(m + 3)

Reorder the terms:
-16 + 8m = 3(3 + m)
-16 + 8m = (3 * 3 + m * 3)
-16 + 8m = (9 + 3m)

Solving
-16 + 8m = 9 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
-16 + 8m + -3m = 9 + 3m + -3m

Combine like terms: 8m + -3m = 5m
-16 + 5m = 9 + 3m + -3m

Combine like terms: 3m + -3m = 0
-16 + 5m = 9 + 0
-16 + 5m = 9

Add '16' to each side of the equation.
-16 + 16 + 5m = 9 + 16

Combine like terms: -16 + 16 = 0
0 + 5m = 9 + 16
5m = 9 + 16

Combine like terms: 9 + 16 = 25
5m = 25

Divide each side by '5'.
m = 5

Simplifying
m = 5

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