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