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Simplifying 5(m + -3) = 4(m + 2) Reorder the terms: 5(-3 + m) = 4(m + 2) (-3 * 5 + m * 5) = 4(m + 2) (-15 + 5m) = 4(m + 2) Reorder the terms: -15 + 5m = 4(2 + m) -15 + 5m = (2 * 4 + m * 4) -15 + 5m = (8 + 4m) Solving -15 + 5m = 8 + 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 = 8 + 4m + -4m Combine like terms: 5m + -4m = 1m -15 + 1m = 8 + 4m + -4m Combine like terms: 4m + -4m = 0 -15 + 1m = 8 + 0 -15 + 1m = 8 Add '15' to each side of the equation. -15 + 15 + 1m = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 1m = 8 + 15 1m = 8 + 15 Combine like terms: 8 + 15 = 23 1m = 23 Divide each side by '1'. m = 23 Simplifying m = 23
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