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Simplifying 17 + 3(w + -2) + -11w = -7(w + 2) Reorder the terms: 17 + 3(-2 + w) + -11w = -7(w + 2) 17 + (-2 * 3 + w * 3) + -11w = -7(w + 2) 17 + (-6 + 3w) + -11w = -7(w + 2) Combine like terms: 17 + -6 = 11 11 + 3w + -11w = -7(w + 2) Combine like terms: 3w + -11w = -8w 11 + -8w = -7(w + 2) Reorder the terms: 11 + -8w = -7(2 + w) 11 + -8w = (2 * -7 + w * -7) 11 + -8w = (-14 + -7w) Solving 11 + -8w = -14 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 11 + -8w + 7w = -14 + -7w + 7w Combine like terms: -8w + 7w = -1w 11 + -1w = -14 + -7w + 7w Combine like terms: -7w + 7w = 0 11 + -1w = -14 + 0 11 + -1w = -14 Add '-11' to each side of the equation. 11 + -11 + -1w = -14 + -11 Combine like terms: 11 + -11 = 0 0 + -1w = -14 + -11 -1w = -14 + -11 Combine like terms: -14 + -11 = -25 -1w = -25 Divide each side by '-1'. w = 25 Simplifying w = 25
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