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Simplifying -6w + 3 + w = 4w + 30 Reorder the terms: 3 + -6w + w = 4w + 30 Combine like terms: -6w + w = -5w 3 + -5w = 4w + 30 Reorder the terms: 3 + -5w = 30 + 4w Solving 3 + -5w = 30 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 3 + -5w + -4w = 30 + 4w + -4w Combine like terms: -5w + -4w = -9w 3 + -9w = 30 + 4w + -4w Combine like terms: 4w + -4w = 0 3 + -9w = 30 + 0 3 + -9w = 30 Add '-3' to each side of the equation. 3 + -3 + -9w = 30 + -3 Combine like terms: 3 + -3 = 0 0 + -9w = 30 + -3 -9w = 30 + -3 Combine like terms: 30 + -3 = 27 -9w = 27 Divide each side by '-9'. w = -3 Simplifying w = -3
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