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Simplifying 30w + 10 = 40 + 29w Reorder the terms: 10 + 30w = 40 + 29w Solving 10 + 30w = 40 + 29w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-29w' to each side of the equation. 10 + 30w + -29w = 40 + 29w + -29w Combine like terms: 30w + -29w = 1w 10 + 1w = 40 + 29w + -29w Combine like terms: 29w + -29w = 0 10 + 1w = 40 + 0 10 + 1w = 40 Add '-10' to each side of the equation. 10 + -10 + 1w = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 1w = 40 + -10 1w = 40 + -10 Combine like terms: 40 + -10 = 30 1w = 30 Divide each side by '1'. w = 30 Simplifying w = 30
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