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Simplifying 5(m + 3) + 9 = (m + -2) + 6 Reorder the terms: 5(3 + m) + 9 = (m + -2) + 6 (3 * 5 + m * 5) + 9 = (m + -2) + 6 (15 + 5m) + 9 = (m + -2) + 6 Reorder the terms: 15 + 9 + 5m = (m + -2) + 6 Combine like terms: 15 + 9 = 24 24 + 5m = (m + -2) + 6 Reorder the terms: 24 + 5m = (-2 + m) + 6 Remove parenthesis around (-2 + m) 24 + 5m = -2 + m + 6 Reorder the terms: 24 + 5m = -2 + 6 + m Combine like terms: -2 + 6 = 4 24 + 5m = 4 + m Solving 24 + 5m = 4 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 24 + 5m + -1m = 4 + m + -1m Combine like terms: 5m + -1m = 4m 24 + 4m = 4 + m + -1m Combine like terms: m + -1m = 0 24 + 4m = 4 + 0 24 + 4m = 4 Add '-24' to each side of the equation. 24 + -24 + 4m = 4 + -24 Combine like terms: 24 + -24 = 0 0 + 4m = 4 + -24 4m = 4 + -24 Combine like terms: 4 + -24 = -20 4m = -20 Divide each side by '4'. m = -5 Simplifying m = -5
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