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Simplifying 29w + 33 = -14w + 162 Reorder the terms: 33 + 29w = -14w + 162 Reorder the terms: 33 + 29w = 162 + -14w Solving 33 + 29w = 162 + -14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14w' to each side of the equation. 33 + 29w + 14w = 162 + -14w + 14w Combine like terms: 29w + 14w = 43w 33 + 43w = 162 + -14w + 14w Combine like terms: -14w + 14w = 0 33 + 43w = 162 + 0 33 + 43w = 162 Add '-33' to each side of the equation. 33 + -33 + 43w = 162 + -33 Combine like terms: 33 + -33 = 0 0 + 43w = 162 + -33 43w = 162 + -33 Combine like terms: 162 + -33 = 129 43w = 129 Divide each side by '43'. w = 3 Simplifying w = 3
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