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Simplifying 5(w + 6) = 7 Reorder the terms: 5(6 + w) = 7 (6 * 5 + w * 5) = 7 (30 + 5w) = 7 Solving 30 + 5w = 7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 5w = 7 + -30 Combine like terms: 30 + -30 = 0 0 + 5w = 7 + -30 5w = 7 + -30 Combine like terms: 7 + -30 = -23 5w = -23 Divide each side by '5'. w = -4.6 Simplifying w = -4.6
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