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Simplifying 7(m + 5) = 29 + m Reorder the terms: 7(5 + m) = 29 + m (5 * 7 + m * 7) = 29 + m (35 + 7m) = 29 + m Solving 35 + 7m = 29 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 35 + 7m + -1m = 29 + m + -1m Combine like terms: 7m + -1m = 6m 35 + 6m = 29 + m + -1m Combine like terms: m + -1m = 0 35 + 6m = 29 + 0 35 + 6m = 29 Add '-35' to each side of the equation. 35 + -35 + 6m = 29 + -35 Combine like terms: 35 + -35 = 0 0 + 6m = 29 + -35 6m = 29 + -35 Combine like terms: 29 + -35 = -6 6m = -6 Divide each side by '6'. m = -1 Simplifying m = -1
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