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Simplifying 3(m + 7) = 29 + -1m Reorder the terms: 3(7 + m) = 29 + -1m (7 * 3 + m * 3) = 29 + -1m (21 + 3m) = 29 + -1m Solving 21 + 3m = 29 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 21 + 3m + m = 29 + -1m + m Combine like terms: 3m + m = 4m 21 + 4m = 29 + -1m + m Combine like terms: -1m + m = 0 21 + 4m = 29 + 0 21 + 4m = 29 Add '-21' to each side of the equation. 21 + -21 + 4m = 29 + -21 Combine like terms: 21 + -21 = 0 0 + 4m = 29 + -21 4m = 29 + -21 Combine like terms: 29 + -21 = 8 4m = 8 Divide each side by '4'. m = 2 Simplifying m = 2
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