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Simplifying 20w + -9 = 4(15 + -1w) Reorder the terms: -9 + 20w = 4(15 + -1w) -9 + 20w = (15 * 4 + -1w * 4) -9 + 20w = (60 + -4w) Solving -9 + 20w = 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. -9 + 20w + 4w = 60 + -4w + 4w Combine like terms: 20w + 4w = 24w -9 + 24w = 60 + -4w + 4w Combine like terms: -4w + 4w = 0 -9 + 24w = 60 + 0 -9 + 24w = 60 Add '9' to each side of the equation. -9 + 9 + 24w = 60 + 9 Combine like terms: -9 + 9 = 0 0 + 24w = 60 + 9 24w = 60 + 9 Combine like terms: 60 + 9 = 69 24w = 69 Divide each side by '24'. w = 2.875 Simplifying w = 2.875
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