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Simplifying w + 3 = 5w + -9 Reorder the terms: 3 + w = 5w + -9 Reorder the terms: 3 + w = -9 + 5w Solving 3 + w = -9 + 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. 3 + w + -5w = -9 + 5w + -5w Combine like terms: w + -5w = -4w 3 + -4w = -9 + 5w + -5w Combine like terms: 5w + -5w = 0 3 + -4w = -9 + 0 3 + -4w = -9 Add '-3' to each side of the equation. 3 + -3 + -4w = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -4w = -9 + -3 -4w = -9 + -3 Combine like terms: -9 + -3 = -12 -4w = -12 Divide each side by '-4'. w = 3 Simplifying w = 3
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