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Simplifying 5 + 3q + 4 = 2q + 1 Reorder the terms: 5 + 4 + 3q = 2q + 1 Combine like terms: 5 + 4 = 9 9 + 3q = 2q + 1 Reorder the terms: 9 + 3q = 1 + 2q Solving 9 + 3q = 1 + 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. 9 + 3q + -2q = 1 + 2q + -2q Combine like terms: 3q + -2q = 1q 9 + 1q = 1 + 2q + -2q Combine like terms: 2q + -2q = 0 9 + 1q = 1 + 0 9 + 1q = 1 Add '-9' to each side of the equation. 9 + -9 + 1q = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 1q = 1 + -9 1q = 1 + -9 Combine like terms: 1 + -9 = -8 1q = -8 Divide each side by '1'. q = -8 Simplifying q = -8
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