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Simplifying 5(w + -4) + 8w = w + 9 Reorder the terms: 5(-4 + w) + 8w = w + 9 (-4 * 5 + w * 5) + 8w = w + 9 (-20 + 5w) + 8w = w + 9 Combine like terms: 5w + 8w = 13w -20 + 13w = w + 9 Reorder the terms: -20 + 13w = 9 + w Solving -20 + 13w = 9 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -20 + 13w + -1w = 9 + w + -1w Combine like terms: 13w + -1w = 12w -20 + 12w = 9 + w + -1w Combine like terms: w + -1w = 0 -20 + 12w = 9 + 0 -20 + 12w = 9 Add '20' to each side of the equation. -20 + 20 + 12w = 9 + 20 Combine like terms: -20 + 20 = 0 0 + 12w = 9 + 20 12w = 9 + 20 Combine like terms: 9 + 20 = 29 12w = 29 Divide each side by '12'. w = 2.416666667 Simplifying w = 2.416666667
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