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Simplifying 3 + 1q = 9 + 4q Solving 3 + 1q = 9 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 3 + 1q + -4q = 9 + 4q + -4q Combine like terms: 1q + -4q = -3q 3 + -3q = 9 + 4q + -4q Combine like terms: 4q + -4q = 0 3 + -3q = 9 + 0 3 + -3q = 9 Add '-3' to each side of the equation. 3 + -3 + -3q = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -3q = 9 + -3 -3q = 9 + -3 Combine like terms: 9 + -3 = 6 -3q = 6 Divide each side by '-3'. q = -2 Simplifying q = -2
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