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Simplifying -9w + 1 = -5w + -13 Reorder the terms: 1 + -9w = -5w + -13 Reorder the terms: 1 + -9w = -13 + -5w Solving 1 + -9w = -13 + -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. 1 + -9w + 5w = -13 + -5w + 5w Combine like terms: -9w + 5w = -4w 1 + -4w = -13 + -5w + 5w Combine like terms: -5w + 5w = 0 1 + -4w = -13 + 0 1 + -4w = -13 Add '-1' to each side of the equation. 1 + -1 + -4w = -13 + -1 Combine like terms: 1 + -1 = 0 0 + -4w = -13 + -1 -4w = -13 + -1 Combine like terms: -13 + -1 = -14 -4w = -14 Divide each side by '-4'. w = 3.5 Simplifying w = 3.5
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