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Simplifying 4w + -3 + 3(2w + 1) = -5(w + 2) Reorder the terms: 4w + -3 + 3(1 + 2w) = -5(w + 2) 4w + -3 + (1 * 3 + 2w * 3) = -5(w + 2) 4w + -3 + (3 + 6w) = -5(w + 2) Reorder the terms: -3 + 3 + 4w + 6w = -5(w + 2) Combine like terms: -3 + 3 = 0 0 + 4w + 6w = -5(w + 2) 4w + 6w = -5(w + 2) Combine like terms: 4w + 6w = 10w 10w = -5(w + 2) Reorder the terms: 10w = -5(2 + w) 10w = (2 * -5 + w * -5) 10w = (-10 + -5w) Solving 10w = -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. 10w + 5w = -10 + -5w + 5w Combine like terms: 10w + 5w = 15w 15w = -10 + -5w + 5w Combine like terms: -5w + 5w = 0 15w = -10 + 0 15w = -10 Divide each side by '15'. w = -0.6666666667 Simplifying w = -0.6666666667
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