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Simplifying 6q + 1 = 3q + 12 Reorder the terms: 1 + 6q = 3q + 12 Reorder the terms: 1 + 6q = 12 + 3q Solving 1 + 6q = 12 + 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. 1 + 6q + -3q = 12 + 3q + -3q Combine like terms: 6q + -3q = 3q 1 + 3q = 12 + 3q + -3q Combine like terms: 3q + -3q = 0 1 + 3q = 12 + 0 1 + 3q = 12 Add '-1' to each side of the equation. 1 + -1 + 3q = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 3q = 12 + -1 3q = 12 + -1 Combine like terms: 12 + -1 = 11 3q = 11 Divide each side by '3'. q = 3.666666667 Simplifying q = 3.666666667
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