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Simplifying 6q + -9 = 12 + 3q Reorder the terms: -9 + 6q = 12 + 3q Solving -9 + 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. -9 + 6q + -3q = 12 + 3q + -3q Combine like terms: 6q + -3q = 3q -9 + 3q = 12 + 3q + -3q Combine like terms: 3q + -3q = 0 -9 + 3q = 12 + 0 -9 + 3q = 12 Add '9' to each side of the equation. -9 + 9 + 3q = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 3q = 12 + 9 3q = 12 + 9 Combine like terms: 12 + 9 = 21 3q = 21 Divide each side by '3'. q = 7 Simplifying q = 7
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