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Simplifying 11w + 2(3w + -1) = 15w + 4 Reorder the terms: 11w + 2(-1 + 3w) = 15w + 4 11w + (-1 * 2 + 3w * 2) = 15w + 4 11w + (-2 + 6w) = 15w + 4 Reorder the terms: -2 + 11w + 6w = 15w + 4 Combine like terms: 11w + 6w = 17w -2 + 17w = 15w + 4 Reorder the terms: -2 + 17w = 4 + 15w Solving -2 + 17w = 4 + 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. -2 + 17w + -15w = 4 + 15w + -15w Combine like terms: 17w + -15w = 2w -2 + 2w = 4 + 15w + -15w Combine like terms: 15w + -15w = 0 -2 + 2w = 4 + 0 -2 + 2w = 4 Add '2' to each side of the equation. -2 + 2 + 2w = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 2w = 4 + 2 2w = 4 + 2 Combine like terms: 4 + 2 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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