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Simplifying -8 = w + -31 Reorder the terms: -8 = -31 + w Solving -8 = -31 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -8 + -1w = -31 + w + -1w Combine like terms: w + -1w = 0 -8 + -1w = -31 + 0 -8 + -1w = -31 Add '8' to each side of the equation. -8 + 8 + -1w = -31 + 8 Combine like terms: -8 + 8 = 0 0 + -1w = -31 + 8 -1w = -31 + 8 Combine like terms: -31 + 8 = -23 -1w = -23 Divide each side by '-1'. w = 23 Simplifying w = 23
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