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Simplifying 5(m + -3) = 4(m + -6) Reorder the terms: 5(-3 + m) = 4(m + -6) (-3 * 5 + m * 5) = 4(m + -6) (-15 + 5m) = 4(m + -6) Reorder the terms: -15 + 5m = 4(-6 + m) -15 + 5m = (-6 * 4 + m * 4) -15 + 5m = (-24 + 4m) Solving -15 + 5m = -24 + 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 = -24 + 4m + -4m Combine like terms: 5m + -4m = 1m -15 + 1m = -24 + 4m + -4m Combine like terms: 4m + -4m = 0 -15 + 1m = -24 + 0 -15 + 1m = -24 Add '15' to each side of the equation. -15 + 15 + 1m = -24 + 15 Combine like terms: -15 + 15 = 0 0 + 1m = -24 + 15 1m = -24 + 15 Combine like terms: -24 + 15 = -9 1m = -9 Divide each side by '1'. m = -9 Simplifying m = -9
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