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Simplifying 2w + 26 = -2(w + -9) Reorder the terms: 26 + 2w = -2(w + -9) Reorder the terms: 26 + 2w = -2(-9 + w) 26 + 2w = (-9 * -2 + w * -2) 26 + 2w = (18 + -2w) Solving 26 + 2w = 18 + -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 + 2w + 2w = 18 + -2w + 2w Combine like terms: 2w + 2w = 4w 26 + 4w = 18 + -2w + 2w Combine like terms: -2w + 2w = 0 26 + 4w = 18 + 0 26 + 4w = 18 Add '-26' to each side of the equation. 26 + -26 + 4w = 18 + -26 Combine like terms: 26 + -26 = 0 0 + 4w = 18 + -26 4w = 18 + -26 Combine like terms: 18 + -26 = -8 4w = -8 Divide each side by '4'. w = -2 Simplifying w = -2
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