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