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Simplifying 9w + -2 = 5(w + -6) Reorder the terms: -2 + 9w = 5(w + -6) Reorder the terms: -2 + 9w = 5(-6 + w) -2 + 9w = (-6 * 5 + w * 5) -2 + 9w = (-30 + 5w) Solving -2 + 9w = -30 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -2 + 9w + -5w = -30 + 5w + -5w Combine like terms: 9w + -5w = 4w -2 + 4w = -30 + 5w + -5w Combine like terms: 5w + -5w = 0 -2 + 4w = -30 + 0 -2 + 4w = -30 Add '2' to each side of the equation. -2 + 2 + 4w = -30 + 2 Combine like terms: -2 + 2 = 0 0 + 4w = -30 + 2 4w = -30 + 2 Combine like terms: -30 + 2 = -28 4w = -28 Divide each side by '4'. w = -7 Simplifying w = -7
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