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Simplifying 11w + 21(3w + -1) = 15w Reorder the terms: 11w + 21(-1 + 3w) = 15w 11w + (-1 * 21 + 3w * 21) = 15w 11w + (-21 + 63w) = 15w Reorder the terms: -21 + 11w + 63w = 15w Combine like terms: 11w + 63w = 74w -21 + 74w = 15w Solving -21 + 74w = 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -21 + 74w + -15w = 15w + -15w Combine like terms: 74w + -15w = 59w -21 + 59w = 15w + -15w Combine like terms: 15w + -15w = 0 -21 + 59w = 0 Add '21' to each side of the equation. -21 + 21 + 59w = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 59w = 0 + 21 59w = 0 + 21 Combine like terms: 0 + 21 = 21 59w = 21 Divide each side by '59'. w = 0.3559322034 Simplifying w = 0.3559322034
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