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Simplifying -26 = 3w + 5(w + 6) Reorder the terms: -26 = 3w + 5(6 + w) -26 = 3w + (6 * 5 + w * 5) -26 = 3w + (30 + 5w) Reorder the terms: -26 = 30 + 3w + 5w Combine like terms: 3w + 5w = 8w -26 = 30 + 8w Solving -26 = 30 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -26 + -8w = 30 + 8w + -8w Combine like terms: 8w + -8w = 0 -26 + -8w = 30 + 0 -26 + -8w = 30 Add '26' to each side of the equation. -26 + 26 + -8w = 30 + 26 Combine like terms: -26 + 26 = 0 0 + -8w = 30 + 26 -8w = 30 + 26 Combine like terms: 30 + 26 = 56 -8w = 56 Divide each side by '-8'. w = -7 Simplifying w = -7
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