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Simplifying 3250 = 2(m + -500) + 1500 Reorder the terms: 3250 = 2(-500 + m) + 1500 3250 = (-500 * 2 + m * 2) + 1500 3250 = (-1000 + 2m) + 1500 Reorder the terms: 3250 = -1000 + 1500 + 2m Combine like terms: -1000 + 1500 = 500 3250 = 500 + 2m Solving 3250 = 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 + -2m = 500 + 2m + -2m Combine like terms: 2m + -2m = 0 3250 + -2m = 500 + 0 3250 + -2m = 500 Add '-3250' to each side of the equation. 3250 + -3250 + -2m = 500 + -3250 Combine like terms: 3250 + -3250 = 0 0 + -2m = 500 + -3250 -2m = 500 + -3250 Combine like terms: 500 + -3250 = -2750 -2m = -2750 Divide each side by '-2'. m = 1375 Simplifying m = 1375
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