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Simplifying -16 = 6(w + 2) + 8w Reorder the terms: -16 = 6(2 + w) + 8w -16 = (2 * 6 + w * 6) + 8w -16 = (12 + 6w) + 8w Combine like terms: 6w + 8w = 14w -16 = 12 + 14w Solving -16 = 12 + 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. -16 + -14w = 12 + 14w + -14w Combine like terms: 14w + -14w = 0 -16 + -14w = 12 + 0 -16 + -14w = 12 Add '16' to each side of the equation. -16 + 16 + -14w = 12 + 16 Combine like terms: -16 + 16 = 0 0 + -14w = 12 + 16 -14w = 12 + 16 Combine like terms: 12 + 16 = 28 -14w = 28 Divide each side by '-14'. w = -2 Simplifying w = -2
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