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Simplifying 4w + -1 + 4w + 1 = 2w + 1 Reorder the terms: -1 + 1 + 4w + 4w = 2w + 1 Combine like terms: -1 + 1 = 0 0 + 4w + 4w = 2w + 1 4w + 4w = 2w + 1 Combine like terms: 4w + 4w = 8w 8w = 2w + 1 Reorder the terms: 8w = 1 + 2w Solving 8w = 1 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 8w + -2w = 1 + 2w + -2w Combine like terms: 8w + -2w = 6w 6w = 1 + 2w + -2w Combine like terms: 2w + -2w = 0 6w = 1 + 0 6w = 1 Divide each side by '6'. w = 0.1666666667 Simplifying w = 0.1666666667
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