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Simplifying -5(3m + -1) = 29 + -7m Reorder the terms: -5(-1 + 3m) = 29 + -7m (-1 * -5 + 3m * -5) = 29 + -7m (5 + -15m) = 29 + -7m Solving 5 + -15m = 29 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 5 + -15m + 7m = 29 + -7m + 7m Combine like terms: -15m + 7m = -8m 5 + -8m = 29 + -7m + 7m Combine like terms: -7m + 7m = 0 5 + -8m = 29 + 0 5 + -8m = 29 Add '-5' to each side of the equation. 5 + -5 + -8m = 29 + -5 Combine like terms: 5 + -5 = 0 0 + -8m = 29 + -5 -8m = 29 + -5 Combine like terms: 29 + -5 = 24 -8m = 24 Divide each side by '-8'. m = -3 Simplifying m = -3
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