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Simplifying 3(w + 8) = 9w + 42 Reorder the terms: 3(8 + w) = 9w + 42 (8 * 3 + w * 3) = 9w + 42 (24 + 3w) = 9w + 42 Reorder the terms: 24 + 3w = 42 + 9w Solving 24 + 3w = 42 + 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. 24 + 3w + -9w = 42 + 9w + -9w Combine like terms: 3w + -9w = -6w 24 + -6w = 42 + 9w + -9w Combine like terms: 9w + -9w = 0 24 + -6w = 42 + 0 24 + -6w = 42 Add '-24' to each side of the equation. 24 + -24 + -6w = 42 + -24 Combine like terms: 24 + -24 = 0 0 + -6w = 42 + -24 -6w = 42 + -24 Combine like terms: 42 + -24 = 18 -6w = 18 Divide each side by '-6'. w = -3 Simplifying w = -3
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