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Simplifying -17w + 7(17w + 12) = 18w Reorder the terms: -17w + 7(12 + 17w) = 18w -17w + (12 * 7 + 17w * 7) = 18w -17w + (84 + 119w) = 18w Reorder the terms: 84 + -17w + 119w = 18w Combine like terms: -17w + 119w = 102w 84 + 102w = 18w Solving 84 + 102w = 18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18w' to each side of the equation. 84 + 102w + -18w = 18w + -18w Combine like terms: 102w + -18w = 84w 84 + 84w = 18w + -18w Combine like terms: 18w + -18w = 0 84 + 84w = 0 Add '-84' to each side of the equation. 84 + -84 + 84w = 0 + -84 Combine like terms: 84 + -84 = 0 0 + 84w = 0 + -84 84w = 0 + -84 Combine like terms: 0 + -84 = -84 84w = -84 Divide each side by '84'. w = -1 Simplifying w = -1
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