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Simplifying 3(m + 1) + -2 = 4(2m + 3) Reorder the terms: 3(1 + m) + -2 = 4(2m + 3) (1 * 3 + m * 3) + -2 = 4(2m + 3) (3 + 3m) + -2 = 4(2m + 3) Reorder the terms: 3 + -2 + 3m = 4(2m + 3) Combine like terms: 3 + -2 = 1 1 + 3m = 4(2m + 3) Reorder the terms: 1 + 3m = 4(3 + 2m) 1 + 3m = (3 * 4 + 2m * 4) 1 + 3m = (12 + 8m) Solving 1 + 3m = 12 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 1 + 3m + -8m = 12 + 8m + -8m Combine like terms: 3m + -8m = -5m 1 + -5m = 12 + 8m + -8m Combine like terms: 8m + -8m = 0 1 + -5m = 12 + 0 1 + -5m = 12 Add '-1' to each side of the equation. 1 + -1 + -5m = 12 + -1 Combine like terms: 1 + -1 = 0 0 + -5m = 12 + -1 -5m = 12 + -1 Combine like terms: 12 + -1 = 11 -5m = 11 Divide each side by '-5'. m = -2.2 Simplifying m = -2.2
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