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Simplifying -5(1 + -5m) + 5(-8m + -2) = -4m + -8m (1 * -5 + -5m * -5) + 5(-8m + -2) = -4m + -8m (-5 + 25m) + 5(-8m + -2) = -4m + -8m Reorder the terms: -5 + 25m + 5(-2 + -8m) = -4m + -8m -5 + 25m + (-2 * 5 + -8m * 5) = -4m + -8m -5 + 25m + (-10 + -40m) = -4m + -8m Reorder the terms: -5 + -10 + 25m + -40m = -4m + -8m Combine like terms: -5 + -10 = -15 -15 + 25m + -40m = -4m + -8m Combine like terms: 25m + -40m = -15m -15 + -15m = -4m + -8m Combine like terms: -4m + -8m = -12m -15 + -15m = -12m Solving -15 + -15m = -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. -15 + -15m + 12m = -12m + 12m Combine like terms: -15m + 12m = -3m -15 + -3m = -12m + 12m Combine like terms: -12m + 12m = 0 -15 + -3m = 0 Add '15' to each side of the equation. -15 + 15 + -3m = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -3m = 0 + 15 -3m = 0 + 15 Combine like terms: 0 + 15 = 15 -3m = 15 Divide each side by '-3'. m = -5 Simplifying m = -5
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