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Simplifying 12 + 3q = 9q + -18 Reorder the terms: 12 + 3q = -18 + 9q Solving 12 + 3q = -18 + 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. 12 + 3q + -9q = -18 + 9q + -9q Combine like terms: 3q + -9q = -6q 12 + -6q = -18 + 9q + -9q Combine like terms: 9q + -9q = 0 12 + -6q = -18 + 0 12 + -6q = -18 Add '-12' to each side of the equation. 12 + -12 + -6q = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -6q = -18 + -12 -6q = -18 + -12 Combine like terms: -18 + -12 = -30 -6q = -30 Divide each side by '-6'. q = 5 Simplifying q = 5
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