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Simplifying 6(4w + 6) = -45 Reorder the terms: 6(6 + 4w) = -45 (6 * 6 + 4w * 6) = -45 (36 + 24w) = -45 Solving 36 + 24w = -45 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 = -45 + -36 Combine like terms: 36 + -36 = 0 0 + 24w = -45 + -36 24w = -45 + -36 Combine like terms: -45 + -36 = -81 24w = -81 Divide each side by '24'. w = -3.375 Simplifying w = -3.375
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