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Simplifying -6(w + -1) = -8w + 14 Reorder the terms: -6(-1 + w) = -8w + 14 (-1 * -6 + w * -6) = -8w + 14 (6 + -6w) = -8w + 14 Reorder the terms: 6 + -6w = 14 + -8w Solving 6 + -6w = 14 + -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. 6 + -6w + 8w = 14 + -8w + 8w Combine like terms: -6w + 8w = 2w 6 + 2w = 14 + -8w + 8w Combine like terms: -8w + 8w = 0 6 + 2w = 14 + 0 6 + 2w = 14 Add '-6' to each side of the equation. 6 + -6 + 2w = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 2w = 14 + -6 2w = 14 + -6 Combine like terms: 14 + -6 = 8 2w = 8 Divide each side by '2'. w = 4 Simplifying w = 4
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