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Simplifying 6w + 5[w + -2] = 23 Reorder the terms: 6w + 5[-2 + w] = 23 6w + [-2 * 5 + w * 5] = 23 6w + [-10 + 5w] = 23 Reorder the terms: -10 + 6w + 5w = 23 Combine like terms: 6w + 5w = 11w -10 + 11w = 23 Solving -10 + 11w = 23 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 11w = 23 + 10 Combine like terms: -10 + 10 = 0 0 + 11w = 23 + 10 11w = 23 + 10 Combine like terms: 23 + 10 = 33 11w = 33 Divide each side by '11'. w = 3 Simplifying w = 3
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