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Simplifying -5(m + 3) = -4(m + 5) Reorder the terms: -5(3 + m) = -4(m + 5) (3 * -5 + m * -5) = -4(m + 5) (-15 + -5m) = -4(m + 5) Reorder the terms: -15 + -5m = -4(5 + m) -15 + -5m = (5 * -4 + m * -4) -15 + -5m = (-20 + -4m) Solving -15 + -5m = -20 + -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. -15 + -5m + 4m = -20 + -4m + 4m Combine like terms: -5m + 4m = -1m -15 + -1m = -20 + -4m + 4m Combine like terms: -4m + 4m = 0 -15 + -1m = -20 + 0 -15 + -1m = -20 Add '15' to each side of the equation. -15 + 15 + -1m = -20 + 15 Combine like terms: -15 + 15 = 0 0 + -1m = -20 + 15 -1m = -20 + 15 Combine like terms: -20 + 15 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5
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