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Simplifying 6(4w + 10) * 5 = 1 Reorder the terms: 6(10 + 4w) * 5 = 1 Reorder the terms for easier multiplication: 6 * 5(10 + 4w) = 1 Multiply 6 * 5 30(10 + 4w) = 1 (10 * 30 + 4w * 30) = 1 (300 + 120w) = 1 Solving 300 + 120w = 1 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-300' to each side of the equation. 300 + -300 + 120w = 1 + -300 Combine like terms: 300 + -300 = 0 0 + 120w = 1 + -300 120w = 1 + -300 Combine like terms: 1 + -300 = -299 120w = -299 Divide each side by '120'. w = -2.491666667 Simplifying w = -2.491666667
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