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Simplifying 3(m + 3) + 12 = 2(m + 10) Reorder the terms: 3(3 + m) + 12 = 2(m + 10) (3 * 3 + m * 3) + 12 = 2(m + 10) (9 + 3m) + 12 = 2(m + 10) Reorder the terms: 9 + 12 + 3m = 2(m + 10) Combine like terms: 9 + 12 = 21 21 + 3m = 2(m + 10) Reorder the terms: 21 + 3m = 2(10 + m) 21 + 3m = (10 * 2 + m * 2) 21 + 3m = (20 + 2m) Solving 21 + 3m = 20 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 21 + 3m + -2m = 20 + 2m + -2m Combine like terms: 3m + -2m = 1m 21 + 1m = 20 + 2m + -2m Combine like terms: 2m + -2m = 0 21 + 1m = 20 + 0 21 + 1m = 20 Add '-21' to each side of the equation. 21 + -21 + 1m = 20 + -21 Combine like terms: 21 + -21 = 0 0 + 1m = 20 + -21 1m = 20 + -21 Combine like terms: 20 + -21 = -1 1m = -1 Divide each side by '1'. m = -1 Simplifying m = -1
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