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Simplifying 12 + 3q = 14 + 2q Solving 12 + 3q = 14 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 12 + 3q + -2q = 14 + 2q + -2q Combine like terms: 3q + -2q = 1q 12 + 1q = 14 + 2q + -2q Combine like terms: 2q + -2q = 0 12 + 1q = 14 + 0 12 + 1q = 14 Add '-12' to each side of the equation. 12 + -12 + 1q = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 1q = 14 + -12 1q = 14 + -12 Combine like terms: 14 + -12 = 2 1q = 2 Divide each side by '1'. q = 2 Simplifying q = 2
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