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Simplifying 9q + 12 = 4(3 + 2q) Reorder the terms: 12 + 9q = 4(3 + 2q) 12 + 9q = (3 * 4 + 2q * 4) 12 + 9q = (12 + 8q) Add '-12' to each side of the equation. 12 + -12 + 9q = 12 + -12 + 8q Combine like terms: 12 + -12 = 0 0 + 9q = 12 + -12 + 8q 9q = 12 + -12 + 8q Combine like terms: 12 + -12 = 0 9q = 0 + 8q 9q = 8q Solving 9q = 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. 9q + -8q = 8q + -8q Combine like terms: 9q + -8q = 1q 1q = 8q + -8q Combine like terms: 8q + -8q = 0 1q = 0 Divide each side by '1'. q = 0 Simplifying q = 0
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