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Simplifying 20 + -9 = 4(15 + -1w) Combine like terms: 20 + -9 = 11 11 = 4(15 + -1w) 11 = (15 * 4 + -1w * 4) 11 = (60 + -4w) Solving 11 = 60 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 11 + 4w = 60 + -4w + 4w Combine like terms: -4w + 4w = 0 11 + 4w = 60 + 0 11 + 4w = 60 Add '-11' to each side of the equation. 11 + -11 + 4w = 60 + -11 Combine like terms: 11 + -11 = 0 0 + 4w = 60 + -11 4w = 60 + -11 Combine like terms: 60 + -11 = 49 4w = 49 Divide each side by '4'. w = 12.25 Simplifying w = 12.25
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