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Simplifying 8q + 12 = 42 + 3q Reorder the terms: 12 + 8q = 42 + 3q Solving 12 + 8q = 42 + 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 = 42 + 3q + -3q Combine like terms: 8q + -3q = 5q 12 + 5q = 42 + 3q + -3q Combine like terms: 3q + -3q = 0 12 + 5q = 42 + 0 12 + 5q = 42 Add '-12' to each side of the equation. 12 + -12 + 5q = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 5q = 42 + -12 5q = 42 + -12 Combine like terms: 42 + -12 = 30 5q = 30 Divide each side by '5'. q = 6 Simplifying q = 6
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