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Simplifying 6 + 2(2w + -3) = -2(5w + -6) + 5w Reorder the terms: 6 + 2(-3 + 2w) = -2(5w + -6) + 5w 6 + (-3 * 2 + 2w * 2) = -2(5w + -6) + 5w 6 + (-6 + 4w) = -2(5w + -6) + 5w Combine like terms: 6 + -6 = 0 0 + 4w = -2(5w + -6) + 5w 4w = -2(5w + -6) + 5w Reorder the terms: 4w = -2(-6 + 5w) + 5w 4w = (-6 * -2 + 5w * -2) + 5w 4w = (12 + -10w) + 5w Combine like terms: -10w + 5w = -5w 4w = 12 + -5w Solving 4w = 12 + -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. 4w + 5w = 12 + -5w + 5w Combine like terms: 4w + 5w = 9w 9w = 12 + -5w + 5w Combine like terms: -5w + 5w = 0 9w = 12 + 0 9w = 12 Divide each side by '9'. w = 1.333333333 Simplifying w = 1.333333333
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