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Simplifying 9(w + 7) = 3w + -9 Reorder the terms: 9(7 + w) = 3w + -9 (7 * 9 + w * 9) = 3w + -9 (63 + 9w) = 3w + -9 Reorder the terms: 63 + 9w = -9 + 3w Solving 63 + 9w = -9 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 63 + 9w + -3w = -9 + 3w + -3w Combine like terms: 9w + -3w = 6w 63 + 6w = -9 + 3w + -3w Combine like terms: 3w + -3w = 0 63 + 6w = -9 + 0 63 + 6w = -9 Add '-63' to each side of the equation. 63 + -63 + 6w = -9 + -63 Combine like terms: 63 + -63 = 0 0 + 6w = -9 + -63 6w = -9 + -63 Combine like terms: -9 + -63 = -72 6w = -72 Divide each side by '6'. w = -12 Simplifying w = -12
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