3250-m=2(m-500)+150

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Solution for 3250-m=2(m-500)+150 equation:


Simplifying
3250 + -1m = 2(m + -500) + 150

Reorder the terms:
3250 + -1m = 2(-500 + m) + 150
3250 + -1m = (-500 * 2 + m * 2) + 150
3250 + -1m = (-1000 + 2m) + 150

Reorder the terms:
3250 + -1m = -1000 + 150 + 2m

Combine like terms: -1000 + 150 = -850
3250 + -1m = -850 + 2m

Solving
3250 + -1m = -850 + 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.
3250 + -1m + -2m = -850 + 2m + -2m

Combine like terms: -1m + -2m = -3m
3250 + -3m = -850 + 2m + -2m

Combine like terms: 2m + -2m = 0
3250 + -3m = -850 + 0
3250 + -3m = -850

Add '-3250' to each side of the equation.
3250 + -3250 + -3m = -850 + -3250

Combine like terms: 3250 + -3250 = 0
0 + -3m = -850 + -3250
-3m = -850 + -3250

Combine like terms: -850 + -3250 = -4100
-3m = -4100

Divide each side by '-3'.
m = 1366.666667

Simplifying
m = 1366.666667

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