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Simplifying 3(4m + 7) + 7 = 4(1 + -3m) Reorder the terms: 3(7 + 4m) + 7 = 4(1 + -3m) (7 * 3 + 4m * 3) + 7 = 4(1 + -3m) (21 + 12m) + 7 = 4(1 + -3m) Reorder the terms: 21 + 7 + 12m = 4(1 + -3m) Combine like terms: 21 + 7 = 28 28 + 12m = 4(1 + -3m) 28 + 12m = (1 * 4 + -3m * 4) 28 + 12m = (4 + -12m) Solving 28 + 12m = 4 + -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. 28 + 12m + 12m = 4 + -12m + 12m Combine like terms: 12m + 12m = 24m 28 + 24m = 4 + -12m + 12m Combine like terms: -12m + 12m = 0 28 + 24m = 4 + 0 28 + 24m = 4 Add '-28' to each side of the equation. 28 + -28 + 24m = 4 + -28 Combine like terms: 28 + -28 = 0 0 + 24m = 4 + -28 24m = 4 + -28 Combine like terms: 4 + -28 = -24 24m = -24 Divide each side by '24'. m = -1 Simplifying m = -1
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