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

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


Simplifying
7 + -1(m + -4) = -2m + 3(m + -2)

Reorder the terms:
7 + -1(-4 + m) = -2m + 3(m + -2)
7 + (-4 * -1 + m * -1) = -2m + 3(m + -2)
7 + (4 + -1m) = -2m + 3(m + -2)

Combine like terms: 7 + 4 = 11
11 + -1m = -2m + 3(m + -2)

Reorder the terms:
11 + -1m = -2m + 3(-2 + m)
11 + -1m = -2m + (-2 * 3 + m * 3)
11 + -1m = -2m + (-6 + 3m)

Reorder the terms:
11 + -1m = -6 + -2m + 3m

Combine like terms: -2m + 3m = 1m
11 + -1m = -6 + 1m

Solving
11 + -1m = -6 + 1m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
11 + -1m + -1m = -6 + 1m + -1m

Combine like terms: -1m + -1m = -2m
11 + -2m = -6 + 1m + -1m

Combine like terms: 1m + -1m = 0
11 + -2m = -6 + 0
11 + -2m = -6

Add '-11' to each side of the equation.
11 + -11 + -2m = -6 + -11

Combine like terms: 11 + -11 = 0
0 + -2m = -6 + -11
-2m = -6 + -11

Combine like terms: -6 + -11 = -17
-2m = -17

Divide each side by '-2'.
m = 8.5

Simplifying
m = 8.5

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