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Simplifying 20 + -9w = 5(15 + -1w) 20 + -9w = (15 * 5 + -1w * 5) 20 + -9w = (75 + -5w) Solving 20 + -9w = 75 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 20 + -9w + 5w = 75 + -5w + 5w Combine like terms: -9w + 5w = -4w 20 + -4w = 75 + -5w + 5w Combine like terms: -5w + 5w = 0 20 + -4w = 75 + 0 20 + -4w = 75 Add '-20' to each side of the equation. 20 + -20 + -4w = 75 + -20 Combine like terms: 20 + -20 = 0 0 + -4w = 75 + -20 -4w = 75 + -20 Combine like terms: 75 + -20 = 55 -4w = 55 Divide each side by '-4'. w = -13.75 Simplifying w = -13.75
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