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Simplifying [m + 3] = 12 + -2m Reorder the terms: [3 + m] = 12 + -2m Remove brackets around [3 + m] 3 + m = 12 + -2m Solving 3 + m = 12 + -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. 3 + m + 2m = 12 + -2m + 2m Combine like terms: m + 2m = 3m 3 + 3m = 12 + -2m + 2m Combine like terms: -2m + 2m = 0 3 + 3m = 12 + 0 3 + 3m = 12 Add '-3' to each side of the equation. 3 + -3 + 3m = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 3m = 12 + -3 3m = 12 + -3 Combine like terms: 12 + -3 = 9 3m = 9 Divide each side by '3'. m = 3 Simplifying m = 3
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