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Simplifying 8q + -2 = 3q + 8 Reorder the terms: -2 + 8q = 3q + 8 Reorder the terms: -2 + 8q = 8 + 3q Solving -2 + 8q = 8 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -2 + 8q + -3q = 8 + 3q + -3q Combine like terms: 8q + -3q = 5q -2 + 5q = 8 + 3q + -3q Combine like terms: 3q + -3q = 0 -2 + 5q = 8 + 0 -2 + 5q = 8 Add '2' to each side of the equation. -2 + 2 + 5q = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 5q = 8 + 2 5q = 8 + 2 Combine like terms: 8 + 2 = 10 5q = 10 Divide each side by '5'. q = 2 Simplifying q = 2
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