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Simplifying -7w + 8 = -9(w + -2) Reorder the terms: 8 + -7w = -9(w + -2) Reorder the terms: 8 + -7w = -9(-2 + w) 8 + -7w = (-2 * -9 + w * -9) 8 + -7w = (18 + -9w) Solving 8 + -7w = 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. 8 + -7w + 9w = 18 + -9w + 9w Combine like terms: -7w + 9w = 2w 8 + 2w = 18 + -9w + 9w Combine like terms: -9w + 9w = 0 8 + 2w = 18 + 0 8 + 2w = 18 Add '-8' to each side of the equation. 8 + -8 + 2w = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 2w = 18 + -8 2w = 18 + -8 Combine like terms: 18 + -8 = 10 2w = 10 Divide each side by '2'. w = 5 Simplifying w = 5
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