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Simplifying -2w + 26 = 3(w + 2) Reorder the terms: 26 + -2w = 3(w + 2) Reorder the terms: 26 + -2w = 3(2 + w) 26 + -2w = (2 * 3 + w * 3) 26 + -2w = (6 + 3w) Solving 26 + -2w = 6 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 26 + -2w + -3w = 6 + 3w + -3w Combine like terms: -2w + -3w = -5w 26 + -5w = 6 + 3w + -3w Combine like terms: 3w + -3w = 0 26 + -5w = 6 + 0 26 + -5w = 6 Add '-26' to each side of the equation. 26 + -26 + -5w = 6 + -26 Combine like terms: 26 + -26 = 0 0 + -5w = 6 + -26 -5w = 6 + -26 Combine like terms: 6 + -26 = -20 -5w = -20 Divide each side by '-5'. w = 4 Simplifying w = 4
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