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Simplifying 5(3w + 10) = 7 Reorder the terms: 5(10 + 3w) = 7 (10 * 5 + 3w * 5) = 7 (50 + 15w) = 7 Solving 50 + 15w = 7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 15w = 7 + -50 Combine like terms: 50 + -50 = 0 0 + 15w = 7 + -50 15w = 7 + -50 Combine like terms: 7 + -50 = -43 15w = -43 Divide each side by '15'. w = -2.866666667 Simplifying w = -2.866666667
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