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Simplifying -5(-3 + -8m) = 5(7m + -1) (-3 * -5 + -8m * -5) = 5(7m + -1) (15 + 40m) = 5(7m + -1) Reorder the terms: 15 + 40m = 5(-1 + 7m) 15 + 40m = (-1 * 5 + 7m * 5) 15 + 40m = (-5 + 35m) Solving 15 + 40m = -5 + 35m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-35m' to each side of the equation. 15 + 40m + -35m = -5 + 35m + -35m Combine like terms: 40m + -35m = 5m 15 + 5m = -5 + 35m + -35m Combine like terms: 35m + -35m = 0 15 + 5m = -5 + 0 15 + 5m = -5 Add '-15' to each side of the equation. 15 + -15 + 5m = -5 + -15 Combine like terms: 15 + -15 = 0 0 + 5m = -5 + -15 5m = -5 + -15 Combine like terms: -5 + -15 = -20 5m = -20 Divide each side by '5'. m = -4 Simplifying m = -4
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