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Simplifying 2w + -1 = 8 + -4w Reorder the terms: -1 + 2w = 8 + -4w Solving -1 + 2w = 8 + -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. -1 + 2w + 4w = 8 + -4w + 4w Combine like terms: 2w + 4w = 6w -1 + 6w = 8 + -4w + 4w Combine like terms: -4w + 4w = 0 -1 + 6w = 8 + 0 -1 + 6w = 8 Add '1' to each side of the equation. -1 + 1 + 6w = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 6w = 8 + 1 6w = 8 + 1 Combine like terms: 8 + 1 = 9 6w = 9 Divide each side by '6'. w = 1.5 Simplifying w = 1.5
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