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Simplifying 29.5 = 19.5 + 0.25(m + -200) Reorder the terms: 29.5 = 19.5 + 0.25(-200 + m) 29.5 = 19.5 + (-200 * 0.25 + m * 0.25) 29.5 = 19.5 + (-50 + 0.25m) Combine like terms: 19.5 + -50 = -30.5 29.5 = -30.5 + 0.25m Solving 29.5 = -30.5 + 0.25m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.25m' to each side of the equation. 29.5 + -0.25m = -30.5 + 0.25m + -0.25m Combine like terms: 0.25m + -0.25m = 0.00 29.5 + -0.25m = -30.5 + 0.00 29.5 + -0.25m = -30.5 Add '-29.5' to each side of the equation. 29.5 + -29.5 + -0.25m = -30.5 + -29.5 Combine like terms: 29.5 + -29.5 = 0.0 0.0 + -0.25m = -30.5 + -29.5 -0.25m = -30.5 + -29.5 Combine like terms: -30.5 + -29.5 = -60 -0.25m = -60 Divide each side by '-0.25'. m = 240 Simplifying m = 240
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