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Simplifying 6(w + 7) + -1(2 + -8w) = 13 Reorder the terms: 6(7 + w) + -1(2 + -8w) = 13 (7 * 6 + w * 6) + -1(2 + -8w) = 13 (42 + 6w) + -1(2 + -8w) = 13 42 + 6w + (2 * -1 + -8w * -1) = 13 42 + 6w + (-2 + 8w) = 13 Reorder the terms: 42 + -2 + 6w + 8w = 13 Combine like terms: 42 + -2 = 40 40 + 6w + 8w = 13 Combine like terms: 6w + 8w = 14w 40 + 14w = 13 Solving 40 + 14w = 13 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 14w = 13 + -40 Combine like terms: 40 + -40 = 0 0 + 14w = 13 + -40 14w = 13 + -40 Combine like terms: 13 + -40 = -27 14w = -27 Divide each side by '14'. w = -1.928571429 Simplifying w = -1.928571429
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