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