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Simplifying -10 = w + -32 + 9 Reorder the terms: -10 = -32 + 9 + w Combine like terms: -32 + 9 = -23 -10 = -23 + w Solving -10 = -23 + 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. -10 + -1w = -23 + w + -1w Combine like terms: w + -1w = 0 -10 + -1w = -23 + 0 -10 + -1w = -23 Add '10' to each side of the equation. -10 + 10 + -1w = -23 + 10 Combine like terms: -10 + 10 = 0 0 + -1w = -23 + 10 -1w = -23 + 10 Combine like terms: -23 + 10 = -13 -1w = -13 Divide each side by '-1'. w = 13 Simplifying w = 13
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