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Simplifying 8(10 + -3w) = 5(15 + -4w) (10 * 8 + -3w * 8) = 5(15 + -4w) (80 + -24w) = 5(15 + -4w) 80 + -24w = (15 * 5 + -4w * 5) 80 + -24w = (75 + -20w) Solving 80 + -24w = 75 + -20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '20w' to each side of the equation. 80 + -24w + 20w = 75 + -20w + 20w Combine like terms: -24w + 20w = -4w 80 + -4w = 75 + -20w + 20w Combine like terms: -20w + 20w = 0 80 + -4w = 75 + 0 80 + -4w = 75 Add '-80' to each side of the equation. 80 + -80 + -4w = 75 + -80 Combine like terms: 80 + -80 = 0 0 + -4w = 75 + -80 -4w = 75 + -80 Combine like terms: 75 + -80 = -5 -4w = -5 Divide each side by '-4'. w = 1.25 Simplifying w = 1.25
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