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Simplifying 14 = 4(w + 5) + -6w Reorder the terms: 14 = 4(5 + w) + -6w 14 = (5 * 4 + w * 4) + -6w 14 = (20 + 4w) + -6w Combine like terms: 4w + -6w = -2w 14 = 20 + -2w Solving 14 = 20 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 14 + 2w = 20 + -2w + 2w Combine like terms: -2w + 2w = 0 14 + 2w = 20 + 0 14 + 2w = 20 Add '-14' to each side of the equation. 14 + -14 + 2w = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 2w = 20 + -14 2w = 20 + -14 Combine like terms: 20 + -14 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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