4(m-9)=8(m+3)

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Solution for 4(m-9)=8(m+3) equation:


Simplifying
4(m + -9) = 8(m + 3)

Reorder the terms:
4(-9 + m) = 8(m + 3)
(-9 * 4 + m * 4) = 8(m + 3)
(-36 + 4m) = 8(m + 3)

Reorder the terms:
-36 + 4m = 8(3 + m)
-36 + 4m = (3 * 8 + m * 8)
-36 + 4m = (24 + 8m)

Solving
-36 + 4m = 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.
-36 + 4m + -8m = 24 + 8m + -8m

Combine like terms: 4m + -8m = -4m
-36 + -4m = 24 + 8m + -8m

Combine like terms: 8m + -8m = 0
-36 + -4m = 24 + 0
-36 + -4m = 24

Add '36' to each side of the equation.
-36 + 36 + -4m = 24 + 36

Combine like terms: -36 + 36 = 0
0 + -4m = 24 + 36
-4m = 24 + 36

Combine like terms: 24 + 36 = 60
-4m = 60

Divide each side by '-4'.
m = -15

Simplifying
m = -15

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