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Simplifying 6(w + 4) = 2 + 5w Reorder the terms: 6(4 + w) = 2 + 5w (4 * 6 + w * 6) = 2 + 5w (24 + 6w) = 2 + 5w Solving 24 + 6w = 2 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 24 + 6w + -5w = 2 + 5w + -5w Combine like terms: 6w + -5w = 1w 24 + 1w = 2 + 5w + -5w Combine like terms: 5w + -5w = 0 24 + 1w = 2 + 0 24 + 1w = 2 Add '-24' to each side of the equation. 24 + -24 + 1w = 2 + -24 Combine like terms: 24 + -24 = 0 0 + 1w = 2 + -24 1w = 2 + -24 Combine like terms: 2 + -24 = -22 1w = -22 Divide each side by '1'. w = -22 Simplifying w = -22
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