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Simplifying 8 + 3q = 12 + 2q Solving 8 + 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. 8 + 3q + -2q = 12 + 2q + -2q Combine like terms: 3q + -2q = 1q 8 + 1q = 12 + 2q + -2q Combine like terms: 2q + -2q = 0 8 + 1q = 12 + 0 8 + 1q = 12 Add '-8' to each side of the equation. 8 + -8 + 1q = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 1q = 12 + -8 1q = 12 + -8 Combine like terms: 12 + -8 = 4 1q = 4 Divide each side by '1'. q = 4 Simplifying q = 4
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