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Simplifying 3(4w + 6) * 2 = -11 Reorder the terms: 3(6 + 4w) * 2 = -11 Reorder the terms for easier multiplication: 3 * 2(6 + 4w) = -11 Multiply 3 * 2 6(6 + 4w) = -11 (6 * 6 + 4w * 6) = -11 (36 + 24w) = -11 Solving 36 + 24w = -11 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 24w = -11 + -36 Combine like terms: 36 + -36 = 0 0 + 24w = -11 + -36 24w = -11 + -36 Combine like terms: -11 + -36 = -47 24w = -47 Divide each side by '24'. w = -1.958333333 Simplifying w = -1.958333333
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