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Simplifying -5(w + 6) = -9w + -2 Reorder the terms: -5(6 + w) = -9w + -2 (6 * -5 + w * -5) = -9w + -2 (-30 + -5w) = -9w + -2 Reorder the terms: -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 = 28 4w = 28 Divide each side by '4'. w = 7 Simplifying w = 7
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