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Simplifying 6q + 13 = 12q + 2 Reorder the terms: 13 + 6q = 12q + 2 Reorder the terms: 13 + 6q = 2 + 12q Solving 13 + 6q = 2 + 12q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12q' to each side of the equation. 13 + 6q + -12q = 2 + 12q + -12q Combine like terms: 6q + -12q = -6q 13 + -6q = 2 + 12q + -12q Combine like terms: 12q + -12q = 0 13 + -6q = 2 + 0 13 + -6q = 2 Add '-13' to each side of the equation. 13 + -13 + -6q = 2 + -13 Combine like terms: 13 + -13 = 0 0 + -6q = 2 + -13 -6q = 2 + -13 Combine like terms: 2 + -13 = -11 -6q = -11 Divide each side by '-6'. q = 1.833333333 Simplifying q = 1.833333333
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