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Simplifying -2w + -17 = -9(w + -2) Reorder the terms: -17 + -2w = -9(w + -2) Reorder the terms: -17 + -2w = -9(-2 + w) -17 + -2w = (-2 * -9 + w * -9) -17 + -2w = (18 + -9w) Solving -17 + -2w = 18 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -17 + -2w + 9w = 18 + -9w + 9w Combine like terms: -2w + 9w = 7w -17 + 7w = 18 + -9w + 9w Combine like terms: -9w + 9w = 0 -17 + 7w = 18 + 0 -17 + 7w = 18 Add '17' to each side of the equation. -17 + 17 + 7w = 18 + 17 Combine like terms: -17 + 17 = 0 0 + 7w = 18 + 17 7w = 18 + 17 Combine like terms: 18 + 17 = 35 7w = 35 Divide each side by '7'. w = 5 Simplifying w = 5
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