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Simplifying 9(10 + -3w) = 5(15 + -4w) (10 * 9 + -3w * 9) = 5(15 + -4w) (90 + -27w) = 5(15 + -4w) 90 + -27w = (15 * 5 + -4w * 5) 90 + -27w = (75 + -20w) Solving 90 + -27w = 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. 90 + -27w + 20w = 75 + -20w + 20w Combine like terms: -27w + 20w = -7w 90 + -7w = 75 + -20w + 20w Combine like terms: -20w + 20w = 0 90 + -7w = 75 + 0 90 + -7w = 75 Add '-90' to each side of the equation. 90 + -90 + -7w = 75 + -90 Combine like terms: 90 + -90 = 0 0 + -7w = 75 + -90 -7w = 75 + -90 Combine like terms: 75 + -90 = -15 -7w = -15 Divide each side by '-7'. w = 2.142857143 Simplifying w = 2.142857143
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