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Simplifying 63 = 9(2 + -1w) 63 = (2 * 9 + -1w * 9) 63 = (18 + -9w) Solving 63 = 18 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. 63 + 9w = 18 + -9w + 9w Combine like terms: -9w + 9w = 0 63 + 9w = 18 + 0 63 + 9w = 18 Add '-63' to each side of the equation. 63 + -63 + 9w = 18 + -63 Combine like terms: 63 + -63 = 0 0 + 9w = 18 + -63 9w = 18 + -63 Combine like terms: 18 + -63 = -45 9w = -45 Divide each side by '9'. w = -5 Simplifying w = -5
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