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Simplifying 5(8 + -3m) = -10 + -5m (8 * 5 + -3m * 5) = -10 + -5m (40 + -15m) = -10 + -5m Solving 40 + -15m = -10 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 40 + -15m + 5m = -10 + -5m + 5m Combine like terms: -15m + 5m = -10m 40 + -10m = -10 + -5m + 5m Combine like terms: -5m + 5m = 0 40 + -10m = -10 + 0 40 + -10m = -10 Add '-40' to each side of the equation. 40 + -40 + -10m = -10 + -40 Combine like terms: 40 + -40 = 0 0 + -10m = -10 + -40 -10m = -10 + -40 Combine like terms: -10 + -40 = -50 -10m = -50 Divide each side by '-10'. m = 5 Simplifying m = 5
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