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Simplifying 5(m + -3) = 8(m + 3) Reorder the terms: 5(-3 + m) = 8(m + 3) (-3 * 5 + m * 5) = 8(m + 3) (-15 + 5m) = 8(m + 3) Reorder the terms: -15 + 5m = 8(3 + m) -15 + 5m = (3 * 8 + m * 8) -15 + 5m = (24 + 8m) Solving -15 + 5m = 24 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -15 + 5m + -8m = 24 + 8m + -8m Combine like terms: 5m + -8m = -3m -15 + -3m = 24 + 8m + -8m Combine like terms: 8m + -8m = 0 -15 + -3m = 24 + 0 -15 + -3m = 24 Add '15' to each side of the equation. -15 + 15 + -3m = 24 + 15 Combine like terms: -15 + 15 = 0 0 + -3m = 24 + 15 -3m = 24 + 15 Combine like terms: 24 + 15 = 39 -3m = 39 Divide each side by '-3'. m = -13 Simplifying m = -13
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