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Simplifying 3(1[3w + -5] * 1) = 39 Reorder the terms: 3(1[-5 + 3w] * 1) = 39 Reorder the terms for easier multiplication: 3(1 * 1[-5 + 3w]) = 39 Multiply 1 * 1 3(1[-5 + 3w]) = 39 3([-5 * 1 + 3w * 1]) = 39 3([-5 + 3w]) = 39 (-5 * 3 + 3w * 3) = 39 (-15 + 9w) = 39 Solving -15 + 9w = 39 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 9w = 39 + 15 Combine like terms: -15 + 15 = 0 0 + 9w = 39 + 15 9w = 39 + 15 Combine like terms: 39 + 15 = 54 9w = 54 Divide each side by '9'. w = 6 Simplifying w = 6
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