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Simplifying 41 = 34 + w Solving 41 = 34 + 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. 41 + -1w = 34 + w + -1w Combine like terms: w + -1w = 0 41 + -1w = 34 + 0 41 + -1w = 34 Add '-41' to each side of the equation. 41 + -41 + -1w = 34 + -41 Combine like terms: 41 + -41 = 0 0 + -1w = 34 + -41 -1w = 34 + -41 Combine like terms: 34 + -41 = -7 -1w = -7 Divide each side by '-1'. w = 7 Simplifying w = 7
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