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