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