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Simplifying 45 = -3q + 12q + 9 Reorder the terms: 45 = 9 + -3q + 12q Combine like terms: -3q + 12q = 9q 45 = 9 + 9q Solving 45 = 9 + 9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9q' to each side of the equation. 45 + -9q = 9 + 9q + -9q Combine like terms: 9q + -9q = 0 45 + -9q = 9 + 0 45 + -9q = 9 Add '-45' to each side of the equation. 45 + -45 + -9q = 9 + -45 Combine like terms: 45 + -45 = 0 0 + -9q = 9 + -45 -9q = 9 + -45 Combine like terms: 9 + -45 = -36 -9q = -36 Divide each side by '-9'. q = 4 Simplifying q = 4
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