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Simplifying 7(w + 3) = -9w + -7 Reorder the terms: 7(3 + w) = -9w + -7 (3 * 7 + w * 7) = -9w + -7 (21 + 7w) = -9w + -7 Reorder the terms: 21 + 7w = -7 + -9w Solving 21 + 7w = -7 + -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 + 7w + 9w = -7 + -9w + 9w Combine like terms: 7w + 9w = 16w 21 + 16w = -7 + -9w + 9w Combine like terms: -9w + 9w = 0 21 + 16w = -7 + 0 21 + 16w = -7 Add '-21' to each side of the equation. 21 + -21 + 16w = -7 + -21 Combine like terms: 21 + -21 = 0 0 + 16w = -7 + -21 16w = -7 + -21 Combine like terms: -7 + -21 = -28 16w = -28 Divide each side by '16'. w = -1.75 Simplifying w = -1.75
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