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Simplifying 5(3w + 7) = 6 Reorder the terms: 5(7 + 3w) = 6 (7 * 5 + 3w * 5) = 6 (35 + 15w) = 6 Solving 35 + 15w = 6 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 15w = 6 + -35 Combine like terms: 35 + -35 = 0 0 + 15w = 6 + -35 15w = 6 + -35 Combine like terms: 6 + -35 = -29 15w = -29 Divide each side by '15'. w = -1.933333333 Simplifying w = -1.933333333
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