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Simplifying 9w + 1 = 13w + 5 Reorder the terms: 1 + 9w = 13w + 5 Reorder the terms: 1 + 9w = 5 + 13w Solving 1 + 9w = 5 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. 1 + 9w + -13w = 5 + 13w + -13w Combine like terms: 9w + -13w = -4w 1 + -4w = 5 + 13w + -13w Combine like terms: 13w + -13w = 0 1 + -4w = 5 + 0 1 + -4w = 5 Add '-1' to each side of the equation. 1 + -1 + -4w = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -4w = 5 + -1 -4w = 5 + -1 Combine like terms: 5 + -1 = 4 -4w = 4 Divide each side by '-4'. w = -1 Simplifying w = -1
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