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Simplifying (7 + 6)(5y + -2w + 7) = 0 Combine like terms: 7 + 6 = 13 (13)(5y + -2w + 7) = 0 Reorder the terms: 13(7 + -2w + 5y) = 0 (7 * 13 + -2w * 13 + 5y * 13) = 0 (91 + -26w + 65y) = 0 Solving 91 + -26w + 65y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-91' to each side of the equation. 91 + -26w + -91 + 65y = 0 + -91 Reorder the terms: 91 + -91 + -26w + 65y = 0 + -91 Combine like terms: 91 + -91 = 0 0 + -26w + 65y = 0 + -91 -26w + 65y = 0 + -91 Combine like terms: 0 + -91 = -91 -26w + 65y = -91 Add '-65y' to each side of the equation. -26w + 65y + -65y = -91 + -65y Combine like terms: 65y + -65y = 0 -26w + 0 = -91 + -65y -26w = -91 + -65y Divide each side by '-26'. w = 3.5 + 2.5y Simplifying w = 3.5 + 2.5y
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