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Simplifying -14 = 8w + 6(w + 7) Reorder the terms: -14 = 8w + 6(7 + w) -14 = 8w + (7 * 6 + w * 6) -14 = 8w + (42 + 6w) Reorder the terms: -14 = 42 + 8w + 6w Combine like terms: 8w + 6w = 14w -14 = 42 + 14w Solving -14 = 42 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -14 + -14w = 42 + 14w + -14w Combine like terms: 14w + -14w = 0 -14 + -14w = 42 + 0 -14 + -14w = 42 Add '14' to each side of the equation. -14 + 14 + -14w = 42 + 14 Combine like terms: -14 + 14 = 0 0 + -14w = 42 + 14 -14w = 42 + 14 Combine like terms: 42 + 14 = 56 -14w = 56 Divide each side by '-14'. w = -4 Simplifying w = -4
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