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Simplifying 7(w + 4) = -9w + -4 Reorder the terms: 7(4 + w) = -9w + -4 (4 * 7 + w * 7) = -9w + -4 (28 + 7w) = -9w + -4 Reorder the terms: 28 + 7w = -4 + -9w Solving 28 + 7w = -4 + -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. 28 + 7w + 9w = -4 + -9w + 9w Combine like terms: 7w + 9w = 16w 28 + 16w = -4 + -9w + 9w Combine like terms: -9w + 9w = 0 28 + 16w = -4 + 0 28 + 16w = -4 Add '-28' to each side of the equation. 28 + -28 + 16w = -4 + -28 Combine like terms: 28 + -28 = 0 0 + 16w = -4 + -28 16w = -4 + -28 Combine like terms: -4 + -28 = -32 16w = -32 Divide each side by '16'. w = -2 Simplifying w = -2
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