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Simplifying 10 + 3q = 12 + 2q Solving 10 + 3q = 12 + 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. 10 + 3q + -2q = 12 + 2q + -2q Combine like terms: 3q + -2q = 1q 10 + 1q = 12 + 2q + -2q Combine like terms: 2q + -2q = 0 10 + 1q = 12 + 0 10 + 1q = 12 Add '-10' to each side of the equation. 10 + -10 + 1q = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 1q = 12 + -10 1q = 12 + -10 Combine like terms: 12 + -10 = 2 1q = 2 Divide each side by '1'. q = 2 Simplifying q = 2
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