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Simplifying 5w + -2(w + -8) = 8 Reorder the terms: 5w + -2(-8 + w) = 8 5w + (-8 * -2 + w * -2) = 8 5w + (16 + -2w) = 8 Reorder the terms: 16 + 5w + -2w = 8 Combine like terms: 5w + -2w = 3w 16 + 3w = 8 Solving 16 + 3w = 8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3w = 8 + -16 Combine like terms: 16 + -16 = 0 0 + 3w = 8 + -16 3w = 8 + -16 Combine like terms: 8 + -16 = -8 3w = -8 Divide each side by '3'. w = -2.666666667 Simplifying w = -2.666666667
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