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Simplifying 9w + 18 = -8(w + 2) Reorder the terms: 18 + 9w = -8(w + 2) Reorder the terms: 18 + 9w = -8(2 + w) 18 + 9w = (2 * -8 + w * -8) 18 + 9w = (-16 + -8w) Solving 18 + 9w = -16 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 18 + 9w + 8w = -16 + -8w + 8w Combine like terms: 9w + 8w = 17w 18 + 17w = -16 + -8w + 8w Combine like terms: -8w + 8w = 0 18 + 17w = -16 + 0 18 + 17w = -16 Add '-18' to each side of the equation. 18 + -18 + 17w = -16 + -18 Combine like terms: 18 + -18 = 0 0 + 17w = -16 + -18 17w = -16 + -18 Combine like terms: -16 + -18 = -34 17w = -34 Divide each side by '17'. w = -2 Simplifying w = -2
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