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Simplifying 6q + 5 = 3q + 7 Reorder the terms: 5 + 6q = 3q + 7 Reorder the terms: 5 + 6q = 7 + 3q Solving 5 + 6q = 7 + 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. 5 + 6q + -3q = 7 + 3q + -3q Combine like terms: 6q + -3q = 3q 5 + 3q = 7 + 3q + -3q Combine like terms: 3q + -3q = 0 5 + 3q = 7 + 0 5 + 3q = 7 Add '-5' to each side of the equation. 5 + -5 + 3q = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 3q = 7 + -5 3q = 7 + -5 Combine like terms: 7 + -5 = 2 3q = 2 Divide each side by '3'. q = 0.6666666667 Simplifying q = 0.6666666667
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