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Simplifying 4(w + 2) = -2(7w + -5) + 6w Reorder the terms: 4(2 + w) = -2(7w + -5) + 6w (2 * 4 + w * 4) = -2(7w + -5) + 6w (8 + 4w) = -2(7w + -5) + 6w Reorder the terms: 8 + 4w = -2(-5 + 7w) + 6w 8 + 4w = (-5 * -2 + 7w * -2) + 6w 8 + 4w = (10 + -14w) + 6w Combine like terms: -14w + 6w = -8w 8 + 4w = 10 + -8w Solving 8 + 4w = 10 + -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. 8 + 4w + 8w = 10 + -8w + 8w Combine like terms: 4w + 8w = 12w 8 + 12w = 10 + -8w + 8w Combine like terms: -8w + 8w = 0 8 + 12w = 10 + 0 8 + 12w = 10 Add '-8' to each side of the equation. 8 + -8 + 12w = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 12w = 10 + -8 12w = 10 + -8 Combine like terms: 10 + -8 = 2 12w = 2 Divide each side by '12'. w = 0.1666666667 Simplifying w = 0.1666666667
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