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Simplifying 11w + 2(3w + -11) = 15w Reorder the terms: 11w + 2(-11 + 3w) = 15w 11w + (-11 * 2 + 3w * 2) = 15w 11w + (-22 + 6w) = 15w Reorder the terms: -22 + 11w + 6w = 15w Combine like terms: 11w + 6w = 17w -22 + 17w = 15w Solving -22 + 17w = 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. -22 + 17w + -15w = 15w + -15w Combine like terms: 17w + -15w = 2w -22 + 2w = 15w + -15w Combine like terms: 15w + -15w = 0 -22 + 2w = 0 Add '22' to each side of the equation. -22 + 22 + 2w = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 2w = 0 + 22 2w = 0 + 22 Combine like terms: 0 + 22 = 22 2w = 22 Divide each side by '2'. w = 11 Simplifying w = 11
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