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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 = 24 -4w = 24 Divide each side by '-4'. w = -6 Simplifying w = -6
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