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Simplifying 51 = w + -17 Reorder the terms: 51 = -17 + w Solving 51 = -17 + 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. 51 + -1w = -17 + w + -1w Combine like terms: w + -1w = 0 51 + -1w = -17 + 0 51 + -1w = -17 Add '-51' to each side of the equation. 51 + -51 + -1w = -17 + -51 Combine like terms: 51 + -51 = 0 0 + -1w = -17 + -51 -1w = -17 + -51 Combine like terms: -17 + -51 = -68 -1w = -68 Divide each side by '-1'. w = 68 Simplifying w = 68
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