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Simplifying -7 = w + -32 + 6 Reorder the terms: -7 = -32 + 6 + w Combine like terms: -32 + 6 = -26 -7 = -26 + w Solving -7 = -26 + 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. -7 + -1w = -26 + w + -1w Combine like terms: w + -1w = 0 -7 + -1w = -26 + 0 -7 + -1w = -26 Add '7' to each side of the equation. -7 + 7 + -1w = -26 + 7 Combine like terms: -7 + 7 = 0 0 + -1w = -26 + 7 -1w = -26 + 7 Combine like terms: -26 + 7 = -19 -1w = -19 Divide each side by '-1'. w = 19 Simplifying w = 19
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