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Simplifying 13 + 15w = 3w + -1w + 4w Combine like terms: 3w + -1w = 2w 13 + 15w = 2w + 4w Combine like terms: 2w + 4w = 6w 13 + 15w = 6w Solving 13 + 15w = 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 13 + 15w + -6w = 6w + -6w Combine like terms: 15w + -6w = 9w 13 + 9w = 6w + -6w Combine like terms: 6w + -6w = 0 13 + 9w = 0 Add '-13' to each side of the equation. 13 + -13 + 9w = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 9w = 0 + -13 9w = 0 + -13 Combine like terms: 0 + -13 = -13 9w = -13 Divide each side by '9'. w = -1.444444444 Simplifying w = -1.444444444
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