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Simplifying 6(w + 3) = 9 + 5w Reorder the terms: 6(3 + w) = 9 + 5w (3 * 6 + w * 6) = 9 + 5w (18 + 6w) = 9 + 5w Solving 18 + 6w = 9 + 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. 18 + 6w + -5w = 9 + 5w + -5w Combine like terms: 6w + -5w = 1w 18 + 1w = 9 + 5w + -5w Combine like terms: 5w + -5w = 0 18 + 1w = 9 + 0 18 + 1w = 9 Add '-18' to each side of the equation. 18 + -18 + 1w = 9 + -18 Combine like terms: 18 + -18 = 0 0 + 1w = 9 + -18 1w = 9 + -18 Combine like terms: 9 + -18 = -9 1w = -9 Divide each side by '1'. w = -9 Simplifying w = -9
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