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Simplifying 8w + 26 = -2(w + -8) Reorder the terms: 26 + 8w = -2(w + -8) Reorder the terms: 26 + 8w = -2(-8 + w) 26 + 8w = (-8 * -2 + w * -2) 26 + 8w = (16 + -2w) Solving 26 + 8w = 16 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 26 + 8w + 2w = 16 + -2w + 2w Combine like terms: 8w + 2w = 10w 26 + 10w = 16 + -2w + 2w Combine like terms: -2w + 2w = 0 26 + 10w = 16 + 0 26 + 10w = 16 Add '-26' to each side of the equation. 26 + -26 + 10w = 16 + -26 Combine like terms: 26 + -26 = 0 0 + 10w = 16 + -26 10w = 16 + -26 Combine like terms: 16 + -26 = -10 10w = -10 Divide each side by '10'. w = -1 Simplifying w = -1
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