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Simplifying 2(4w + 8) * 3 = -5 Reorder the terms: 2(8 + 4w) * 3 = -5 Reorder the terms for easier multiplication: 2 * 3(8 + 4w) = -5 Multiply 2 * 3 6(8 + 4w) = -5 (8 * 6 + 4w * 6) = -5 (48 + 24w) = -5 Solving 48 + 24w = -5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 24w = -5 + -48 Combine like terms: 48 + -48 = 0 0 + 24w = -5 + -48 24w = -5 + -48 Combine like terms: -5 + -48 = -53 24w = -53 Divide each side by '24'. w = -2.208333333 Simplifying w = -2.208333333
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