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Simplifying sqrt(6z + 10) + 8 = z + 7 Reorder the terms: qrst(10 + 6z) + 8 = z + 7 (10 * qrst + 6z * qrst) + 8 = z + 7 (10qrst + 6qrstz) + 8 = z + 7 Reorder the terms: 8 + 10qrst + 6qrstz = z + 7 Reorder the terms: 8 + 10qrst + 6qrstz = 7 + z Solving 8 + 10qrst + 6qrstz = 7 + z Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 10qrst + -8 + 6qrstz = 7 + -8 + z Reorder the terms: 8 + -8 + 10qrst + 6qrstz = 7 + -8 + z Combine like terms: 8 + -8 = 0 0 + 10qrst + 6qrstz = 7 + -8 + z 10qrst + 6qrstz = 7 + -8 + z Combine like terms: 7 + -8 = -1 10qrst + 6qrstz = -1 + z Reorder the terms: 1 + 10qrst + 6qrstz + -1z = -1 + z + 1 + -1z Reorder the terms: 1 + 10qrst + 6qrstz + -1z = -1 + 1 + z + -1z Combine like terms: -1 + 1 = 0 1 + 10qrst + 6qrstz + -1z = 0 + z + -1z 1 + 10qrst + 6qrstz + -1z = z + -1z Combine like terms: z + -1z = 0 1 + 10qrst + 6qrstz + -1z = 0 The solution to this equation could not be determined.
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