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Simplifying 5w + -4w + 1 = -8 + 2 Reorder the terms: 1 + 5w + -4w = -8 + 2 Combine like terms: 5w + -4w = 1w 1 + 1w = -8 + 2 Combine like terms: -8 + 2 = -6 1 + 1w = -6 Solving 1 + 1w = -6 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1w = -6 + -1 Combine like terms: 1 + -1 = 0 0 + 1w = -6 + -1 1w = -6 + -1 Combine like terms: -6 + -1 = -7 1w = -7 Divide each side by '1'. w = -7 Simplifying w = -7
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