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Simplifying 12 + 3(m + 1) = -2 + 4(m + 6) Reorder the terms: 12 + 3(1 + m) = -2 + 4(m + 6) 12 + (1 * 3 + m * 3) = -2 + 4(m + 6) 12 + (3 + 3m) = -2 + 4(m + 6) Combine like terms: 12 + 3 = 15 15 + 3m = -2 + 4(m + 6) Reorder the terms: 15 + 3m = -2 + 4(6 + m) 15 + 3m = -2 + (6 * 4 + m * 4) 15 + 3m = -2 + (24 + 4m) Combine like terms: -2 + 24 = 22 15 + 3m = 22 + 4m Solving 15 + 3m = 22 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 15 + 3m + -4m = 22 + 4m + -4m Combine like terms: 3m + -4m = -1m 15 + -1m = 22 + 4m + -4m Combine like terms: 4m + -4m = 0 15 + -1m = 22 + 0 15 + -1m = 22 Add '-15' to each side of the equation. 15 + -15 + -1m = 22 + -15 Combine like terms: 15 + -15 = 0 0 + -1m = 22 + -15 -1m = 22 + -15 Combine like terms: 22 + -15 = 7 -1m = 7 Divide each side by '-1'. m = -7 Simplifying m = -7
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