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Simplifying 8w + 4 + -2w = w + 1 Reorder the terms: 4 + 8w + -2w = w + 1 Combine like terms: 8w + -2w = 6w 4 + 6w = w + 1 Reorder the terms: 4 + 6w = 1 + w Solving 4 + 6w = 1 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 4 + 6w + -1w = 1 + w + -1w Combine like terms: 6w + -1w = 5w 4 + 5w = 1 + w + -1w Combine like terms: w + -1w = 0 4 + 5w = 1 + 0 4 + 5w = 1 Add '-4' to each side of the equation. 4 + -4 + 5w = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 5w = 1 + -4 5w = 1 + -4 Combine like terms: 1 + -4 = -3 5w = -3 Divide each side by '5'. w = -0.6 Simplifying w = -0.6
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