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Simplifying 5(m + -3) = 3(m + 11) Reorder the terms: 5(-3 + m) = 3(m + 11) (-3 * 5 + m * 5) = 3(m + 11) (-15 + 5m) = 3(m + 11) Reorder the terms: -15 + 5m = 3(11 + m) -15 + 5m = (11 * 3 + m * 3) -15 + 5m = (33 + 3m) Solving -15 + 5m = 33 + 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. -15 + 5m + -3m = 33 + 3m + -3m Combine like terms: 5m + -3m = 2m -15 + 2m = 33 + 3m + -3m Combine like terms: 3m + -3m = 0 -15 + 2m = 33 + 0 -15 + 2m = 33 Add '15' to each side of the equation. -15 + 15 + 2m = 33 + 15 Combine like terms: -15 + 15 = 0 0 + 2m = 33 + 15 2m = 33 + 15 Combine like terms: 33 + 15 = 48 2m = 48 Divide each side by '2'. m = 24 Simplifying m = 24
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