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Simplifying -5(4 + 2m) = -5(9 + -3m) (4 * -5 + 2m * -5) = -5(9 + -3m) (-20 + -10m) = -5(9 + -3m) -20 + -10m = (9 * -5 + -3m * -5) -20 + -10m = (-45 + 15m) Solving -20 + -10m = -45 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. -20 + -10m + -15m = -45 + 15m + -15m Combine like terms: -10m + -15m = -25m -20 + -25m = -45 + 15m + -15m Combine like terms: 15m + -15m = 0 -20 + -25m = -45 + 0 -20 + -25m = -45 Add '20' to each side of the equation. -20 + 20 + -25m = -45 + 20 Combine like terms: -20 + 20 = 0 0 + -25m = -45 + 20 -25m = -45 + 20 Combine like terms: -45 + 20 = -25 -25m = -25 Divide each side by '-25'. m = 1 Simplifying m = 1
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