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Simplifying 3(m + 7) + -10 = m + 35 Reorder the terms: 3(7 + m) + -10 = m + 35 (7 * 3 + m * 3) + -10 = m + 35 (21 + 3m) + -10 = m + 35 Reorder the terms: 21 + -10 + 3m = m + 35 Combine like terms: 21 + -10 = 11 11 + 3m = m + 35 Reorder the terms: 11 + 3m = 35 + m Solving 11 + 3m = 35 + 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. 11 + 3m + -1m = 35 + m + -1m Combine like terms: 3m + -1m = 2m 11 + 2m = 35 + m + -1m Combine like terms: m + -1m = 0 11 + 2m = 35 + 0 11 + 2m = 35 Add '-11' to each side of the equation. 11 + -11 + 2m = 35 + -11 Combine like terms: 11 + -11 = 0 0 + 2m = 35 + -11 2m = 35 + -11 Combine like terms: 35 + -11 = 24 2m = 24 Divide each side by '2'. m = 12 Simplifying m = 12
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