3(m-3)=-2(m-7)

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Solution for 3(m-3)=-2(m-7) equation:


Simplifying
3(m + -3) = -2(m + -7)

Reorder the terms:
3(-3 + m) = -2(m + -7)
(-3 * 3 + m * 3) = -2(m + -7)
(-9 + 3m) = -2(m + -7)

Reorder the terms:
-9 + 3m = -2(-7 + m)
-9 + 3m = (-7 * -2 + m * -2)
-9 + 3m = (14 + -2m)

Solving
-9 + 3m = 14 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
-9 + 3m + 2m = 14 + -2m + 2m

Combine like terms: 3m + 2m = 5m
-9 + 5m = 14 + -2m + 2m

Combine like terms: -2m + 2m = 0
-9 + 5m = 14 + 0
-9 + 5m = 14

Add '9' to each side of the equation.
-9 + 9 + 5m = 14 + 9

Combine like terms: -9 + 9 = 0
0 + 5m = 14 + 9
5m = 14 + 9

Combine like terms: 14 + 9 = 23
5m = 23

Divide each side by '5'.
m = 4.6

Simplifying
m = 4.6

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