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Simplifying m + 8m + (12 + 4m + 15) + 6 + 2(m) + 10 = 58 Reorder the terms: m + 8m + (12 + 15 + 4m) + 6 + 2(m) + 10 = 58 Combine like terms: 12 + 15 = 27 m + 8m + (27 + 4m) + 6 + 2(m) + 10 = 58 Remove parenthesis around (27 + 4m) m + 8m + 27 + 4m + 6 + 2(m) + 10 = 58 Reorder the terms: 27 + 6 + 10 + m + 8m + 4m + 2m = 58 Combine like terms: 27 + 6 = 33 33 + 10 + m + 8m + 4m + 2m = 58 Combine like terms: 33 + 10 = 43 43 + m + 8m + 4m + 2m = 58 Combine like terms: m + 8m = 9m 43 + 9m + 4m + 2m = 58 Combine like terms: 9m + 4m = 13m 43 + 13m + 2m = 58 Combine like terms: 13m + 2m = 15m 43 + 15m = 58 Solving 43 + 15m = 58 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 15m = 58 + -43 Combine like terms: 43 + -43 = 0 0 + 15m = 58 + -43 15m = 58 + -43 Combine like terms: 58 + -43 = 15 15m = 15 Divide each side by '15'. m = 1 Simplifying m = 1
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