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Simplifying 8 + 4(3w + -2) = -2(4w + -5) + 2w Reorder the terms: 8 + 4(-2 + 3w) = -2(4w + -5) + 2w 8 + (-2 * 4 + 3w * 4) = -2(4w + -5) + 2w 8 + (-8 + 12w) = -2(4w + -5) + 2w Combine like terms: 8 + -8 = 0 0 + 12w = -2(4w + -5) + 2w 12w = -2(4w + -5) + 2w Reorder the terms: 12w = -2(-5 + 4w) + 2w 12w = (-5 * -2 + 4w * -2) + 2w 12w = (10 + -8w) + 2w Combine like terms: -8w + 2w = -6w 12w = 10 + -6w Solving 12w = 10 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 12w + 6w = 10 + -6w + 6w Combine like terms: 12w + 6w = 18w 18w = 10 + -6w + 6w Combine like terms: -6w + 6w = 0 18w = 10 + 0 18w = 10 Divide each side by '18'. w = 0.5555555556 Simplifying w = 0.5555555556
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