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Simplifying 5w + -4 + 2(2w + 1) = -5(w + 2) Reorder the terms: 5w + -4 + 2(1 + 2w) = -5(w + 2) 5w + -4 + (1 * 2 + 2w * 2) = -5(w + 2) 5w + -4 + (2 + 4w) = -5(w + 2) Reorder the terms: -4 + 2 + 5w + 4w = -5(w + 2) Combine like terms: -4 + 2 = -2 -2 + 5w + 4w = -5(w + 2) Combine like terms: 5w + 4w = 9w -2 + 9w = -5(w + 2) Reorder the terms: -2 + 9w = -5(2 + w) -2 + 9w = (2 * -5 + w * -5) -2 + 9w = (-10 + -5w) Solving -2 + 9w = -10 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -2 + 9w + 5w = -10 + -5w + 5w Combine like terms: 9w + 5w = 14w -2 + 14w = -10 + -5w + 5w Combine like terms: -5w + 5w = 0 -2 + 14w = -10 + 0 -2 + 14w = -10 Add '2' to each side of the equation. -2 + 2 + 14w = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 14w = -10 + 2 14w = -10 + 2 Combine like terms: -10 + 2 = -8 14w = -8 Divide each side by '14'. w = -0.5714285714 Simplifying w = -0.5714285714
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