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Simplifying q + 51 = 8q + 23 Reorder the terms: 51 + q = 8q + 23 Reorder the terms: 51 + q = 23 + 8q Solving 51 + q = 23 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. 51 + q + -8q = 23 + 8q + -8q Combine like terms: q + -8q = -7q 51 + -7q = 23 + 8q + -8q Combine like terms: 8q + -8q = 0 51 + -7q = 23 + 0 51 + -7q = 23 Add '-51' to each side of the equation. 51 + -51 + -7q = 23 + -51 Combine like terms: 51 + -51 = 0 0 + -7q = 23 + -51 -7q = 23 + -51 Combine like terms: 23 + -51 = -28 -7q = -28 Divide each side by '-7'. q = 4 Simplifying q = 4
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