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Simplifying 5(w + -6) = 9w + 6 Reorder the terms: 5(-6 + w) = 9w + 6 (-6 * 5 + w * 5) = 9w + 6 (-30 + 5w) = 9w + 6 Reorder the terms: -30 + 5w = 6 + 9w Solving -30 + 5w = 6 + 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. -30 + 5w + -9w = 6 + 9w + -9w Combine like terms: 5w + -9w = -4w -30 + -4w = 6 + 9w + -9w Combine like terms: 9w + -9w = 0 -30 + -4w = 6 + 0 -30 + -4w = 6 Add '30' to each side of the equation. -30 + 30 + -4w = 6 + 30 Combine like terms: -30 + 30 = 0 0 + -4w = 6 + 30 -4w = 6 + 30 Combine like terms: 6 + 30 = 36 -4w = 36 Divide each side by '-4'. w = -9 Simplifying w = -9
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