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Simplifying 6w + 8(w + 7) = -14 Reorder the terms: 6w + 8(7 + w) = -14 6w + (7 * 8 + w * 8) = -14 6w + (56 + 8w) = -14 Reorder the terms: 56 + 6w + 8w = -14 Combine like terms: 6w + 8w = 14w 56 + 14w = -14 Solving 56 + 14w = -14 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 14w = -14 + -56 Combine like terms: 56 + -56 = 0 0 + 14w = -14 + -56 14w = -14 + -56 Combine like terms: -14 + -56 = -70 14w = -70 Divide each side by '14'. w = -5 Simplifying w = -5
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