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Simplifying 5(m + -1) + -5 = -5m + 5(5 + 3m) Reorder the terms: 5(-1 + m) + -5 = -5m + 5(5 + 3m) (-1 * 5 + m * 5) + -5 = -5m + 5(5 + 3m) (-5 + 5m) + -5 = -5m + 5(5 + 3m) Reorder the terms: -5 + -5 + 5m = -5m + 5(5 + 3m) Combine like terms: -5 + -5 = -10 -10 + 5m = -5m + 5(5 + 3m) -10 + 5m = -5m + (5 * 5 + 3m * 5) -10 + 5m = -5m + (25 + 15m) Reorder the terms: -10 + 5m = 25 + -5m + 15m Combine like terms: -5m + 15m = 10m -10 + 5m = 25 + 10m Solving -10 + 5m = 25 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -10 + 5m + -10m = 25 + 10m + -10m Combine like terms: 5m + -10m = -5m -10 + -5m = 25 + 10m + -10m Combine like terms: 10m + -10m = 0 -10 + -5m = 25 + 0 -10 + -5m = 25 Add '10' to each side of the equation. -10 + 10 + -5m = 25 + 10 Combine like terms: -10 + 10 = 0 0 + -5m = 25 + 10 -5m = 25 + 10 Combine like terms: 25 + 10 = 35 -5m = 35 Divide each side by '-5'. m = -7 Simplifying m = -7
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