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Simplifying 11w + -1(3w + -5) = 21 Reorder the terms: 11w + -1(-5 + 3w) = 21 11w + (-5 * -1 + 3w * -1) = 21 11w + (5 + -3w) = 21 Reorder the terms: 5 + 11w + -3w = 21 Combine like terms: 11w + -3w = 8w 5 + 8w = 21 Solving 5 + 8w = 21 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8w = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 8w = 21 + -5 8w = 21 + -5 Combine like terms: 21 + -5 = 16 8w = 16 Divide each side by '8'. w = 2 Simplifying w = 2
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