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Simplifying 5 + 3q = 9 + 2q Solving 5 + 3q = 9 + 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. 5 + 3q + -2q = 9 + 2q + -2q Combine like terms: 3q + -2q = 1q 5 + 1q = 9 + 2q + -2q Combine like terms: 2q + -2q = 0 5 + 1q = 9 + 0 5 + 1q = 9 Add '-5' to each side of the equation. 5 + -5 + 1q = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 1q = 9 + -5 1q = 9 + -5 Combine like terms: 9 + -5 = 4 1q = 4 Divide each side by '1'. q = 4 Simplifying q = 4
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