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Simplifying 7(w + 9) = -9w + -33 Reorder the terms: 7(9 + w) = -9w + -33 (9 * 7 + w * 7) = -9w + -33 (63 + 7w) = -9w + -33 Reorder the terms: 63 + 7w = -33 + -9w Solving 63 + 7w = -33 + -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 + 7w + 9w = -33 + -9w + 9w Combine like terms: 7w + 9w = 16w 63 + 16w = -33 + -9w + 9w Combine like terms: -9w + 9w = 0 63 + 16w = -33 + 0 63 + 16w = -33 Add '-63' to each side of the equation. 63 + -63 + 16w = -33 + -63 Combine like terms: 63 + -63 = 0 0 + 16w = -33 + -63 16w = -33 + -63 Combine like terms: -33 + -63 = -96 16w = -96 Divide each side by '16'. w = -6 Simplifying w = -6
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