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Simplifying 8w + -6 = 18 + -4w Reorder the terms: -6 + 8w = 18 + -4w Solving -6 + 8w = 18 + -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. -6 + 8w + 4w = 18 + -4w + 4w Combine like terms: 8w + 4w = 12w -6 + 12w = 18 + -4w + 4w Combine like terms: -4w + 4w = 0 -6 + 12w = 18 + 0 -6 + 12w = 18 Add '6' to each side of the equation. -6 + 6 + 12w = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 12w = 18 + 6 12w = 18 + 6 Combine like terms: 18 + 6 = 24 12w = 24 Divide each side by '12'. w = 2 Simplifying w = 2
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