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Simplifying 26 = 4(w + 3) + -2w Reorder the terms: 26 = 4(3 + w) + -2w 26 = (3 * 4 + w * 4) + -2w 26 = (12 + 4w) + -2w Combine like terms: 4w + -2w = 2w 26 = 12 + 2w Solving 26 = 12 + 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 = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 26 + -2w = 12 + 0 26 + -2w = 12 Add '-26' to each side of the equation. 26 + -26 + -2w = 12 + -26 Combine like terms: 26 + -26 = 0 0 + -2w = 12 + -26 -2w = 12 + -26 Combine like terms: 12 + -26 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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