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Simplifying -2(3w + -2) + w = 8 + 2(2w + -5) Reorder the terms: -2(-2 + 3w) + w = 8 + 2(2w + -5) (-2 * -2 + 3w * -2) + w = 8 + 2(2w + -5) (4 + -6w) + w = 8 + 2(2w + -5) Combine like terms: -6w + w = -5w 4 + -5w = 8 + 2(2w + -5) Reorder the terms: 4 + -5w = 8 + 2(-5 + 2w) 4 + -5w = 8 + (-5 * 2 + 2w * 2) 4 + -5w = 8 + (-10 + 4w) Combine like terms: 8 + -10 = -2 4 + -5w = -2 + 4w Solving 4 + -5w = -2 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 4 + -5w + -4w = -2 + 4w + -4w Combine like terms: -5w + -4w = -9w 4 + -9w = -2 + 4w + -4w Combine like terms: 4w + -4w = 0 4 + -9w = -2 + 0 4 + -9w = -2 Add '-4' to each side of the equation. 4 + -4 + -9w = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -9w = -2 + -4 -9w = -2 + -4 Combine like terms: -2 + -4 = -6 -9w = -6 Divide each side by '-9'. w = 0.6666666667 Simplifying w = 0.6666666667
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