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Simplifying 5w + -3 = 4w + 5 + 5w Reorder the terms: -3 + 5w = 4w + 5 + 5w Reorder the terms: -3 + 5w = 5 + 4w + 5w Combine like terms: 4w + 5w = 9w -3 + 5w = 5 + 9w Solving -3 + 5w = 5 + 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. -3 + 5w + -9w = 5 + 9w + -9w Combine like terms: 5w + -9w = -4w -3 + -4w = 5 + 9w + -9w Combine like terms: 9w + -9w = 0 -3 + -4w = 5 + 0 -3 + -4w = 5 Add '3' to each side of the equation. -3 + 3 + -4w = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -4w = 5 + 3 -4w = 5 + 3 Combine like terms: 5 + 3 = 8 -4w = 8 Divide each side by '-4'. w = -2 Simplifying w = -2
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