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Simplifying -26 = 8w + 7(w + 7) Reorder the terms: -26 = 8w + 7(7 + w) -26 = 8w + (7 * 7 + w * 7) -26 = 8w + (49 + 7w) Reorder the terms: -26 = 49 + 8w + 7w Combine like terms: 8w + 7w = 15w -26 = 49 + 15w Solving -26 = 49 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -26 + -15w = 49 + 15w + -15w Combine like terms: 15w + -15w = 0 -26 + -15w = 49 + 0 -26 + -15w = 49 Add '26' to each side of the equation. -26 + 26 + -15w = 49 + 26 Combine like terms: -26 + 26 = 0 0 + -15w = 49 + 26 -15w = 49 + 26 Combine like terms: 49 + 26 = 75 -15w = 75 Divide each side by '-15'. w = -5 Simplifying w = -5
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