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Simplifying 2(3w + 8) = 2(1 + -4w) Reorder the terms: 2(8 + 3w) = 2(1 + -4w) (8 * 2 + 3w * 2) = 2(1 + -4w) (16 + 6w) = 2(1 + -4w) 16 + 6w = (1 * 2 + -4w * 2) 16 + 6w = (2 + -8w) Solving 16 + 6w = 2 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 16 + 6w + 8w = 2 + -8w + 8w Combine like terms: 6w + 8w = 14w 16 + 14w = 2 + -8w + 8w Combine like terms: -8w + 8w = 0 16 + 14w = 2 + 0 16 + 14w = 2 Add '-16' to each side of the equation. 16 + -16 + 14w = 2 + -16 Combine like terms: 16 + -16 = 0 0 + 14w = 2 + -16 14w = 2 + -16 Combine like terms: 2 + -16 = -14 14w = -14 Divide each side by '14'. w = -1 Simplifying w = -1
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