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Simplifying 17 = 15 + w + -5 Reorder the terms: 17 = 15 + -5 + w Combine like terms: 15 + -5 = 10 17 = 10 + w Solving 17 = 10 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 17 + -1w = 10 + w + -1w Combine like terms: w + -1w = 0 17 + -1w = 10 + 0 17 + -1w = 10 Add '-17' to each side of the equation. 17 + -17 + -1w = 10 + -17 Combine like terms: 17 + -17 = 0 0 + -1w = 10 + -17 -1w = 10 + -17 Combine like terms: 10 + -17 = -7 -1w = -7 Divide each side by '-1'. w = 7 Simplifying w = 7
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