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Simplifying 2w + 26 = 5(w + 7) Reorder the terms: 26 + 2w = 5(w + 7) Reorder the terms: 26 + 2w = 5(7 + w) 26 + 2w = (7 * 5 + w * 5) 26 + 2w = (35 + 5w) Solving 26 + 2w = 35 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 26 + 2w + -5w = 35 + 5w + -5w Combine like terms: 2w + -5w = -3w 26 + -3w = 35 + 5w + -5w Combine like terms: 5w + -5w = 0 26 + -3w = 35 + 0 26 + -3w = 35 Add '-26' to each side of the equation. 26 + -26 + -3w = 35 + -26 Combine like terms: 26 + -26 = 0 0 + -3w = 35 + -26 -3w = 35 + -26 Combine like terms: 35 + -26 = 9 -3w = 9 Divide each side by '-3'. w = -3 Simplifying w = -3
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