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Simplifying w + -2(8 + -1w) + -31 = 0 w + (8 * -2 + -1w * -2) + -31 = 0 w + (-16 + 2w) + -31 = 0 Reorder the terms: -16 + -31 + w + 2w = 0 Combine like terms: -16 + -31 = -47 -47 + w + 2w = 0 Combine like terms: w + 2w = 3w -47 + 3w = 0 Solving -47 + 3w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 3w = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 3w = 0 + 47 3w = 0 + 47 Combine like terms: 0 + 47 = 47 3w = 47 Divide each side by '3'. w = 15.66666667 Simplifying w = 15.66666667
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