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Simplifying 178 = (-1w) + 63 Reorder the terms: 178 = 63 + (-1w) Solving 178 = 63 + (-1w) Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '(w)' to each side of the equation. 178 + (w) = 63 + (-1w) + (w) 178 + w = 63 + (-1w) + (w) 178 + w = 63 + (-1w) + w Combine like terms: (-1w) + w = 0 178 + w = 63 + 0 178 + w = 63 Add '-178' to each side of the equation. 178 + -178 + w = 63 + -178 Combine like terms: 178 + -178 = 0 0 + w = 63 + -178 w = 63 + -178 Combine like terms: 63 + -178 = -115 w = -115 Simplifying w = -115
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