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Simplifying 3w + -1 + 3(2w + 1) = -5(w + 2) Reorder the terms: 3w + -1 + 3(1 + 2w) = -5(w + 2) 3w + -1 + (1 * 3 + 2w * 3) = -5(w + 2) 3w + -1 + (3 + 6w) = -5(w + 2) Reorder the terms: -1 + 3 + 3w + 6w = -5(w + 2) Combine like terms: -1 + 3 = 2 2 + 3w + 6w = -5(w + 2) Combine like terms: 3w + 6w = 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 = -12 14w = -12 Divide each side by '14'. w = -0.8571428571 Simplifying w = -0.8571428571
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