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Simplifying 2 + 5(m + -1) = 5m + -1(m + -15) Reorder the terms: 2 + 5(-1 + m) = 5m + -1(m + -15) 2 + (-1 * 5 + m * 5) = 5m + -1(m + -15) 2 + (-5 + 5m) = 5m + -1(m + -15) Combine like terms: 2 + -5 = -3 -3 + 5m = 5m + -1(m + -15) Reorder the terms: -3 + 5m = 5m + -1(-15 + m) -3 + 5m = 5m + (-15 * -1 + m * -1) -3 + 5m = 5m + (15 + -1m) Reorder the terms: -3 + 5m = 15 + 5m + -1m Combine like terms: 5m + -1m = 4m -3 + 5m = 15 + 4m Solving -3 + 5m = 15 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -3 + 5m + -4m = 15 + 4m + -4m Combine like terms: 5m + -4m = 1m -3 + 1m = 15 + 4m + -4m Combine like terms: 4m + -4m = 0 -3 + 1m = 15 + 0 -3 + 1m = 15 Add '3' to each side of the equation. -3 + 3 + 1m = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 1m = 15 + 3 1m = 15 + 3 Combine like terms: 15 + 3 = 18 1m = 18 Divide each side by '1'. m = 18 Simplifying m = 18
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