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Simplifying 175 = w + 75 Reorder the terms: 175 = 75 + w Solving 175 = 75 + 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. 175 + -1w = 75 + w + -1w Combine like terms: w + -1w = 0 175 + -1w = 75 + 0 175 + -1w = 75 Add '-175' to each side of the equation. 175 + -175 + -1w = 75 + -175 Combine like terms: 175 + -175 = 0 0 + -1w = 75 + -175 -1w = 75 + -175 Combine like terms: 75 + -175 = -100 -1w = -100 Divide each side by '-1'. w = 100 Simplifying w = 100
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