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Simplifying 17 + -17w + -6 = -15w + -9 Reorder the terms: 17 + -6 + -17w = -15w + -9 Combine like terms: 17 + -6 = 11 11 + -17w = -15w + -9 Reorder the terms: 11 + -17w = -9 + -15w Solving 11 + -17w = -9 + -15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15w' to each side of the equation. 11 + -17w + 15w = -9 + -15w + 15w Combine like terms: -17w + 15w = -2w 11 + -2w = -9 + -15w + 15w Combine like terms: -15w + 15w = 0 11 + -2w = -9 + 0 11 + -2w = -9 Add '-11' to each side of the equation. 11 + -11 + -2w = -9 + -11 Combine like terms: 11 + -11 = 0 0 + -2w = -9 + -11 -2w = -9 + -11 Combine like terms: -9 + -11 = -20 -2w = -20 Divide each side by '-2'. w = 10 Simplifying w = 10
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