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Simplifying w + -2(8 + -1w) = 31 w + (8 * -2 + -1w * -2) = 31 w + (-16 + 2w) = 31 Reorder the terms: -16 + w + 2w = 31 Combine like terms: w + 2w = 3w -16 + 3w = 31 Solving -16 + 3w = 31 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 = 31 + 16 Combine like terms: -16 + 16 = 0 0 + 3w = 31 + 16 3w = 31 + 16 Combine like terms: 31 + 16 = 47 3w = 47 Divide each side by '3'. w = 15.66666667 Simplifying w = 15.66666667
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