9(m-2)-m=8(m-3)6

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Solution for 9(m-2)-m=8(m-3)6 equation:


Simplifying
9(m + -2) + -1m = 8(m + -3) * 6

Reorder the terms:
9(-2 + m) + -1m = 8(m + -3) * 6
(-2 * 9 + m * 9) + -1m = 8(m + -3) * 6
(-18 + 9m) + -1m = 8(m + -3) * 6

Combine like terms: 9m + -1m = 8m
-18 + 8m = 8(m + -3) * 6

Reorder the terms:
-18 + 8m = 8(-3 + m) * 6

Reorder the terms for easier multiplication:
-18 + 8m = 8 * 6(-3 + m)

Multiply 8 * 6
-18 + 8m = 48(-3 + m)
-18 + 8m = (-3 * 48 + m * 48)
-18 + 8m = (-144 + 48m)

Solving
-18 + 8m = -144 + 48m

Solving for variable 'm'.

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

Add '-48m' to each side of the equation.
-18 + 8m + -48m = -144 + 48m + -48m

Combine like terms: 8m + -48m = -40m
-18 + -40m = -144 + 48m + -48m

Combine like terms: 48m + -48m = 0
-18 + -40m = -144 + 0
-18 + -40m = -144

Add '18' to each side of the equation.
-18 + 18 + -40m = -144 + 18

Combine like terms: -18 + 18 = 0
0 + -40m = -144 + 18
-40m = -144 + 18

Combine like terms: -144 + 18 = -126
-40m = -126

Divide each side by '-40'.
m = 3.15

Simplifying
m = 3.15

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