2(3m-3)=7-4(m-3)

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Solution for 2(3m-3)=7-4(m-3) equation:


Simplifying
2(3m + -3) = 7 + -4(m + -3)

Reorder the terms:
2(-3 + 3m) = 7 + -4(m + -3)
(-3 * 2 + 3m * 2) = 7 + -4(m + -3)
(-6 + 6m) = 7 + -4(m + -3)

Reorder the terms:
-6 + 6m = 7 + -4(-3 + m)
-6 + 6m = 7 + (-3 * -4 + m * -4)
-6 + 6m = 7 + (12 + -4m)

Combine like terms: 7 + 12 = 19
-6 + 6m = 19 + -4m

Solving
-6 + 6m = 19 + -4m

Solving for variable 'm'.

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

Add '4m' to each side of the equation.
-6 + 6m + 4m = 19 + -4m + 4m

Combine like terms: 6m + 4m = 10m
-6 + 10m = 19 + -4m + 4m

Combine like terms: -4m + 4m = 0
-6 + 10m = 19 + 0
-6 + 10m = 19

Add '6' to each side of the equation.
-6 + 6 + 10m = 19 + 6

Combine like terms: -6 + 6 = 0
0 + 10m = 19 + 6
10m = 19 + 6

Combine like terms: 19 + 6 = 25
10m = 25

Divide each side by '10'.
m = 2.5

Simplifying
m = 2.5

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