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Simplifying 13w + 4 = 9w + -28 Reorder the terms: 4 + 13w = 9w + -28 Reorder the terms: 4 + 13w = -28 + 9w Solving 4 + 13w = -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 + 13w + -9w = -28 + 9w + -9w Combine like terms: 13w + -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 = -32 4w = -32 Divide each side by '4'. w = -8 Simplifying w = -8
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