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Simplifying 5(-2m + -1) + 5m = -29 + 3m Reorder the terms: 5(-1 + -2m) + 5m = -29 + 3m (-1 * 5 + -2m * 5) + 5m = -29 + 3m (-5 + -10m) + 5m = -29 + 3m Combine like terms: -10m + 5m = -5m -5 + -5m = -29 + 3m Solving -5 + -5m = -29 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -5 + -5m + -3m = -29 + 3m + -3m Combine like terms: -5m + -3m = -8m -5 + -8m = -29 + 3m + -3m Combine like terms: 3m + -3m = 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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