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Simplifying 2(3w + 4) * 4 = -6 Reorder the terms: 2(4 + 3w) * 4 = -6 Reorder the terms for easier multiplication: 2 * 4(4 + 3w) = -6 Multiply 2 * 4 8(4 + 3w) = -6 (4 * 8 + 3w * 8) = -6 (32 + 24w) = -6 Solving 32 + 24w = -6 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 24w = -6 + -32 Combine like terms: 32 + -32 = 0 0 + 24w = -6 + -32 24w = -6 + -32 Combine like terms: -6 + -32 = -38 24w = -38 Divide each side by '24'. w = -1.583333333 Simplifying w = -1.583333333
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