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Simplifying 4(w + 6) + -2w = 14 Reorder the terms: 4(6 + w) + -2w = 14 (6 * 4 + w * 4) + -2w = 14 (24 + 4w) + -2w = 14 Combine like terms: 4w + -2w = 2w 24 + 2w = 14 Solving 24 + 2w = 14 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 2w = 14 + -24 Combine like terms: 24 + -24 = 0 0 + 2w = 14 + -24 2w = 14 + -24 Combine like terms: 14 + -24 = -10 2w = -10 Divide each side by '2'. w = -5 Simplifying w = -5
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