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Simplifying 40 = w + 35 Reorder the terms: 40 = 35 + w Solving 40 = 35 + 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. 40 + -1w = 35 + w + -1w Combine like terms: w + -1w = 0 40 + -1w = 35 + 0 40 + -1w = 35 Add '-40' to each side of the equation. 40 + -40 + -1w = 35 + -40 Combine like terms: 40 + -40 = 0 0 + -1w = 35 + -40 -1w = 35 + -40 Combine like terms: 35 + -40 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5
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