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Simplifying 5(m + -6) = 3(m + 4) Reorder the terms: 5(-6 + m) = 3(m + 4) (-6 * 5 + m * 5) = 3(m + 4) (-30 + 5m) = 3(m + 4) Reorder the terms: -30 + 5m = 3(4 + m) -30 + 5m = (4 * 3 + m * 3) -30 + 5m = (12 + 3m) Solving -30 + 5m = 12 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -30 + 5m + -3m = 12 + 3m + -3m Combine like terms: 5m + -3m = 2m -30 + 2m = 12 + 3m + -3m Combine like terms: 3m + -3m = 0 -30 + 2m = 12 + 0 -30 + 2m = 12 Add '30' to each side of the equation. -30 + 30 + 2m = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 2m = 12 + 30 2m = 12 + 30 Combine like terms: 12 + 30 = 42 2m = 42 Divide each side by '2'. m = 21 Simplifying m = 21
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