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Simplifying 5w + 3(9 + -2w) = 18 5w + (9 * 3 + -2w * 3) = 18 5w + (27 + -6w) = 18 Reorder the terms: 27 + 5w + -6w = 18 Combine like terms: 5w + -6w = -1w 27 + -1w = 18 Solving 27 + -1w = 18 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1w = 18 + -27 Combine like terms: 27 + -27 = 0 0 + -1w = 18 + -27 -1w = 18 + -27 Combine like terms: 18 + -27 = -9 -1w = -9 Divide each side by '-1'. w = 9 Simplifying w = 9
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