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