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Simplifying -26 = 2w + 6(w + 5) Reorder the terms: -26 = 2w + 6(5 + w) -26 = 2w + (5 * 6 + w * 6) -26 = 2w + (30 + 6w) Reorder the terms: -26 = 30 + 2w + 6w Combine like terms: 2w + 6w = 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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