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Simplifying -5(6 + -1w) = 9(w + 2) + -16 (6 * -5 + -1w * -5) = 9(w + 2) + -16 (-30 + 5w) = 9(w + 2) + -16 Reorder the terms: -30 + 5w = 9(2 + w) + -16 -30 + 5w = (2 * 9 + w * 9) + -16 -30 + 5w = (18 + 9w) + -16 Reorder the terms: -30 + 5w = 18 + -16 + 9w Combine like terms: 18 + -16 = 2 -30 + 5w = 2 + 9w Solving -30 + 5w = 2 + 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 = 2 + 9w + -9w Combine like terms: 5w + -9w = -4w -30 + -4w = 2 + 9w + -9w Combine like terms: 9w + -9w = 0 -30 + -4w = 2 + 0 -30 + -4w = 2 Add '30' to each side of the equation. -30 + 30 + -4w = 2 + 30 Combine like terms: -30 + 30 = 0 0 + -4w = 2 + 30 -4w = 2 + 30 Combine like terms: 2 + 30 = 32 -4w = 32 Divide each side by '-4'. w = -8 Simplifying w = -8
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