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Simplifying 2[w + (3w + -3)] = 330 Reorder the terms: 2[w + (-3 + 3w)] = 330 Remove parenthesis around (-3 + 3w) 2[w + -3 + 3w] = 330 Reorder the terms: 2[-3 + w + 3w] = 330 Combine like terms: w + 3w = 4w 2[-3 + 4w] = 330 [-3 * 2 + 4w * 2] = 330 [-6 + 8w] = 330 Solving -6 + 8w = 330 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 8w = 330 + 6 Combine like terms: -6 + 6 = 0 0 + 8w = 330 + 6 8w = 330 + 6 Combine like terms: 330 + 6 = 336 8w = 336 Divide each side by '8'. w = 42 Simplifying w = 42
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