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Simplifying 2 = 2 + 3(6 + -3w) 2 = 2 + (6 * 3 + -3w * 3) 2 = 2 + (18 + -9w) Combine like terms: 2 + 18 = 20 2 = 20 + -9w Solving 2 = 20 + -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. 2 + 9w = 20 + -9w + 9w Combine like terms: -9w + 9w = 0 2 + 9w = 20 + 0 2 + 9w = 20 Add '-2' to each side of the equation. 2 + -2 + 9w = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 9w = 20 + -2 9w = 20 + -2 Combine like terms: 20 + -2 = 18 9w = 18 Divide each side by '9'. w = 2 Simplifying w = 2
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