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Simplifying 3(w + 7) = 9w + -21 Reorder the terms: 3(7 + w) = 9w + -21 (7 * 3 + w * 3) = 9w + -21 (21 + 3w) = 9w + -21 Reorder the terms: 21 + 3w = -21 + 9w Solving 21 + 3w = -21 + 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. 21 + 3w + -9w = -21 + 9w + -9w Combine like terms: 3w + -9w = -6w 21 + -6w = -21 + 9w + -9w Combine like terms: 9w + -9w = 0 21 + -6w = -21 + 0 21 + -6w = -21 Add '-21' to each side of the equation. 21 + -21 + -6w = -21 + -21 Combine like terms: 21 + -21 = 0 0 + -6w = -21 + -21 -6w = -21 + -21 Combine like terms: -21 + -21 = -42 -6w = -42 Divide each side by '-6'. w = 7 Simplifying w = 7
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