3250-m=1500+2(m-500)

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Solution for 3250-m=1500+2(m-500) equation:


Simplifying
3250 + -1m = 1500 + 2(m + -500)

Reorder the terms:
3250 + -1m = 1500 + 2(-500 + m)
3250 + -1m = 1500 + (-500 * 2 + m * 2)
3250 + -1m = 1500 + (-1000 + 2m)

Combine like terms: 1500 + -1000 = 500
3250 + -1m = 500 + 2m

Solving
3250 + -1m = 500 + 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 = 500 + 2m + -2m

Combine like terms: -1m + -2m = -3m
3250 + -3m = 500 + 2m + -2m

Combine like terms: 2m + -2m = 0
3250 + -3m = 500 + 0
3250 + -3m = 500

Add '-3250' to each side of the equation.
3250 + -3250 + -3m = 500 + -3250

Combine like terms: 3250 + -3250 = 0
0 + -3m = 500 + -3250
-3m = 500 + -3250

Combine like terms: 500 + -3250 = -2750
-3m = -2750

Divide each side by '-3'.
m = 916.6666667

Simplifying
m = 916.6666667

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