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Simplifying 5w + -1sqrt(27w + 7) = 3w + -1 Reorder the terms: 5w + -1qrst(7 + 27w) = 3w + -1 5w + (7 * -1qrst + 27w * -1qrst) = 3w + -1 5w + (-7qrst + -27qrstw) = 3w + -1 Reorder the terms: -7qrst + -27qrstw + 5w = 3w + -1 Reorder the terms: -7qrst + -27qrstw + 5w = -1 + 3w Solving -7qrst + -27qrstw + 5w = -1 + 3w Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5w' to each side of the equation. -7qrst + -27qrstw + 5w + -5w = -1 + 3w + -5w Combine like terms: 5w + -5w = 0 -7qrst + -27qrstw + 0 = -1 + 3w + -5w -7qrst + -27qrstw = -1 + 3w + -5w Combine like terms: 3w + -5w = -2w -7qrst + -27qrstw = -1 + -2w Reorder the terms: 1 + -7qrst + -27qrstw + 2w = -1 + -2w + 1 + 2w Reorder the terms: 1 + -7qrst + -27qrstw + 2w = -1 + 1 + -2w + 2w Combine like terms: -1 + 1 = 0 1 + -7qrst + -27qrstw + 2w = 0 + -2w + 2w 1 + -7qrst + -27qrstw + 2w = -2w + 2w Combine like terms: -2w + 2w = 0 1 + -7qrst + -27qrstw + 2w = 0 The solution to this equation could not be determined.
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