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Simplifying 7 + 2q = 12q + -7q + 2 Reorder the terms: 7 + 2q = 2 + 12q + -7q Combine like terms: 12q + -7q = 5q 7 + 2q = 2 + 5q Solving 7 + 2q = 2 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. 7 + 2q + -5q = 2 + 5q + -5q Combine like terms: 2q + -5q = -3q 7 + -3q = 2 + 5q + -5q Combine like terms: 5q + -5q = 0 7 + -3q = 2 + 0 7 + -3q = 2 Add '-7' to each side of the equation. 7 + -7 + -3q = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -3q = 2 + -7 -3q = 2 + -7 Combine like terms: 2 + -7 = -5 -3q = -5 Divide each side by '-3'. q = 1.666666667 Simplifying q = 1.666666667
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