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Simplifying 9(w + 7) = -7w + -49 Reorder the terms: 9(7 + w) = -7w + -49 (7 * 9 + w * 9) = -7w + -49 (63 + 9w) = -7w + -49 Reorder the terms: 63 + 9w = -49 + -7w Solving 63 + 9w = -49 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 63 + 9w + 7w = -49 + -7w + 7w Combine like terms: 9w + 7w = 16w 63 + 16w = -49 + -7w + 7w Combine like terms: -7w + 7w = 0 63 + 16w = -49 + 0 63 + 16w = -49 Add '-63' to each side of the equation. 63 + -63 + 16w = -49 + -63 Combine like terms: 63 + -63 = 0 0 + 16w = -49 + -63 16w = -49 + -63 Combine like terms: -49 + -63 = -112 16w = -112 Divide each side by '16'. w = -7 Simplifying w = -7
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