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Simplifying 6 + 2(5w + -8) = -2(6w + -1) + 4w Reorder the terms: 6 + 2(-8 + 5w) = -2(6w + -1) + 4w 6 + (-8 * 2 + 5w * 2) = -2(6w + -1) + 4w 6 + (-16 + 10w) = -2(6w + -1) + 4w Combine like terms: 6 + -16 = -10 -10 + 10w = -2(6w + -1) + 4w Reorder the terms: -10 + 10w = -2(-1 + 6w) + 4w -10 + 10w = (-1 * -2 + 6w * -2) + 4w -10 + 10w = (2 + -12w) + 4w Combine like terms: -12w + 4w = -8w -10 + 10w = 2 + -8w Solving -10 + 10w = 2 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -10 + 10w + 8w = 2 + -8w + 8w Combine like terms: 10w + 8w = 18w -10 + 18w = 2 + -8w + 8w Combine like terms: -8w + 8w = 0 -10 + 18w = 2 + 0 -10 + 18w = 2 Add '10' to each side of the equation. -10 + 10 + 18w = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 18w = 2 + 10 18w = 2 + 10 Combine like terms: 2 + 10 = 12 18w = 12 Divide each side by '18'. w = 0.6666666667 Simplifying w = 0.6666666667
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