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Simplifying 8q + -12 = 3q + 23 Reorder the terms: -12 + 8q = 3q + 23 Reorder the terms: -12 + 8q = 23 + 3q Solving -12 + 8q = 23 + 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. -12 + 8q + -3q = 23 + 3q + -3q Combine like terms: 8q + -3q = 5q -12 + 5q = 23 + 3q + -3q Combine like terms: 3q + -3q = 0 -12 + 5q = 23 + 0 -12 + 5q = 23 Add '12' to each side of the equation. -12 + 12 + 5q = 23 + 12 Combine like terms: -12 + 12 = 0 0 + 5q = 23 + 12 5q = 23 + 12 Combine like terms: 23 + 12 = 35 5q = 35 Divide each side by '5'. q = 7 Simplifying q = 7
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