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Simplifying 7w + 41 = -9(w + -1) Reorder the terms: 41 + 7w = -9(w + -1) Reorder the terms: 41 + 7w = -9(-1 + w) 41 + 7w = (-1 * -9 + w * -9) 41 + 7w = (9 + -9w) Solving 41 + 7w = 9 + -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. 41 + 7w + 9w = 9 + -9w + 9w Combine like terms: 7w + 9w = 16w 41 + 16w = 9 + -9w + 9w Combine like terms: -9w + 9w = 0 41 + 16w = 9 + 0 41 + 16w = 9 Add '-41' to each side of the equation. 41 + -41 + 16w = 9 + -41 Combine like terms: 41 + -41 = 0 0 + 16w = 9 + -41 16w = 9 + -41 Combine like terms: 9 + -41 = -32 16w = -32 Divide each side by '16'. w = -2 Simplifying w = -2
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