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Simplifying 7(-5m + 20) = -20m + -20 + -20 Reorder the terms: 7(20 + -5m) = -20m + -20 + -20 (20 * 7 + -5m * 7) = -20m + -20 + -20 (140 + -35m) = -20m + -20 + -20 Reorder the terms: 140 + -35m = -20 + -20 + -20m Combine like terms: -20 + -20 = -40 140 + -35m = -40 + -20m Solving 140 + -35m = -40 + -20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '20m' to each side of the equation. 140 + -35m + 20m = -40 + -20m + 20m Combine like terms: -35m + 20m = -15m 140 + -15m = -40 + -20m + 20m Combine like terms: -20m + 20m = 0 140 + -15m = -40 + 0 140 + -15m = -40 Add '-140' to each side of the equation. 140 + -140 + -15m = -40 + -140 Combine like terms: 140 + -140 = 0 0 + -15m = -40 + -140 -15m = -40 + -140 Combine like terms: -40 + -140 = -180 -15m = -180 Divide each side by '-15'. m = 12 Simplifying m = 12
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