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Simplifying -2w + 26 = -4(w + -2) Reorder the terms: 26 + -2w = -4(w + -2) Reorder the terms: 26 + -2w = -4(-2 + w) 26 + -2w = (-2 * -4 + w * -4) 26 + -2w = (8 + -4w) Solving 26 + -2w = 8 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 26 + -2w + 4w = 8 + -4w + 4w Combine like terms: -2w + 4w = 2w 26 + 2w = 8 + -4w + 4w Combine like terms: -4w + 4w = 0 26 + 2w = 8 + 0 26 + 2w = 8 Add '-26' to each side of the equation. 26 + -26 + 2w = 8 + -26 Combine like terms: 26 + -26 = 0 0 + 2w = 8 + -26 2w = 8 + -26 Combine like terms: 8 + -26 = -18 2w = -18 Divide each side by '2'. w = -9 Simplifying w = -9
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