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Simplifying 7(w + 5) + 6 = 27 Reorder the terms: 7(5 + w) + 6 = 27 (5 * 7 + w * 7) + 6 = 27 (35 + 7w) + 6 = 27 Reorder the terms: 35 + 6 + 7w = 27 Combine like terms: 35 + 6 = 41 41 + 7w = 27 Solving 41 + 7w = 27 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 7w = 27 + -41 Combine like terms: 41 + -41 = 0 0 + 7w = 27 + -41 7w = 27 + -41 Combine like terms: 27 + -41 = -14 7w = -14 Divide each side by '7'. w = -2 Simplifying w = -2
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