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Simplifying 5(1 + -2w)(-5) + 8w = 15 Reorder the terms for easier multiplication: 5 * -5(1 + -2w) + 8w = 15 Multiply 5 * -5 -25(1 + -2w) + 8w = 15 (1 * -25 + -2w * -25) + 8w = 15 (-25 + 50w) + 8w = 15 Combine like terms: 50w + 8w = 58w -25 + 58w = 15 Solving -25 + 58w = 15 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 58w = 15 + 25 Combine like terms: -25 + 25 = 0 0 + 58w = 15 + 25 58w = 15 + 25 Combine like terms: 15 + 25 = 40 58w = 40 Divide each side by '58'. w = 0.6896551724 Simplifying w = 0.6896551724
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