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Simplifying 5w + 4 = 9w + 28 Reorder the terms: 4 + 5w = 9w + 28 Reorder the terms: 4 + 5w = 28 + 9w Solving 4 + 5w = 28 + 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. 4 + 5w + -9w = 28 + 9w + -9w Combine like terms: 5w + -9w = -4w 4 + -4w = 28 + 9w + -9w Combine like terms: 9w + -9w = 0 4 + -4w = 28 + 0 4 + -4w = 28 Add '-4' to each side of the equation. 4 + -4 + -4w = 28 + -4 Combine like terms: 4 + -4 = 0 0 + -4w = 28 + -4 -4w = 28 + -4 Combine like terms: 28 + -4 = 24 -4w = 24 Divide each side by '-4'. w = -6 Simplifying w = -6
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