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Simplifying 4(w + 6) = 9w + 34 Reorder the terms: 4(6 + w) = 9w + 34 (6 * 4 + w * 4) = 9w + 34 (24 + 4w) = 9w + 34 Reorder the terms: 24 + 4w = 34 + 9w Solving 24 + 4w = 34 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 24 + 4w + -9w = 34 + 9w + -9w Combine like terms: 4w + -9w = -5w 24 + -5w = 34 + 9w + -9w Combine like terms: 9w + -9w = 0 24 + -5w = 34 + 0 24 + -5w = 34 Add '-24' to each side of the equation. 24 + -24 + -5w = 34 + -24 Combine like terms: 24 + -24 = 0 0 + -5w = 34 + -24 -5w = 34 + -24 Combine like terms: 34 + -24 = 10 -5w = 10 Divide each side by '-5'. w = -2 Simplifying w = -2
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