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Simplifying 6(w + 4) = 14 + w Reorder the terms: 6(4 + w) = 14 + w (4 * 6 + w * 6) = 14 + w (24 + 6w) = 14 + w Solving 24 + 6w = 14 + 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. 24 + 6w + -1w = 14 + w + -1w Combine like terms: 6w + -1w = 5w 24 + 5w = 14 + w + -1w Combine like terms: w + -1w = 0 24 + 5w = 14 + 0 24 + 5w = 14 Add '-24' to each side of the equation. 24 + -24 + 5w = 14 + -24 Combine like terms: 24 + -24 = 0 0 + 5w = 14 + -24 5w = 14 + -24 Combine like terms: 14 + -24 = -10 5w = -10 Divide each side by '5'. w = -2 Simplifying w = -2
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