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Simplifying 5(5w + -3) = 14w + 29 Reorder the terms: 5(-3 + 5w) = 14w + 29 (-3 * 5 + 5w * 5) = 14w + 29 (-15 + 25w) = 14w + 29 Reorder the terms: -15 + 25w = 29 + 14w Solving -15 + 25w = 29 + 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. -15 + 25w + -14w = 29 + 14w + -14w Combine like terms: 25w + -14w = 11w -15 + 11w = 29 + 14w + -14w Combine like terms: 14w + -14w = 0 -15 + 11w = 29 + 0 -15 + 11w = 29 Add '15' to each side of the equation. -15 + 15 + 11w = 29 + 15 Combine like terms: -15 + 15 = 0 0 + 11w = 29 + 15 11w = 29 + 15 Combine like terms: 29 + 15 = 44 11w = 44 Divide each side by '11'. w = 4 Simplifying w = 4
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