9-2m=7+2(m-3)

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Solution for 9-2m=7+2(m-3) equation:


Simplifying
9 + -2m = 7 + 2(m + -3)

Reorder the terms:
9 + -2m = 7 + 2(-3 + m)
9 + -2m = 7 + (-3 * 2 + m * 2)
9 + -2m = 7 + (-6 + 2m)

Combine like terms: 7 + -6 = 1
9 + -2m = 1 + 2m

Solving
9 + -2m = 1 + 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 + -2m + -2m = 1 + 2m + -2m

Combine like terms: -2m + -2m = -4m
9 + -4m = 1 + 2m + -2m

Combine like terms: 2m + -2m = 0
9 + -4m = 1 + 0
9 + -4m = 1

Add '-9' to each side of the equation.
9 + -9 + -4m = 1 + -9

Combine like terms: 9 + -9 = 0
0 + -4m = 1 + -9
-4m = 1 + -9

Combine like terms: 1 + -9 = -8
-4m = -8

Divide each side by '-4'.
m = 2

Simplifying
m = 2

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