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Simplifying 4q + 2 = 3q + -6 Reorder the terms: 2 + 4q = 3q + -6 Reorder the terms: 2 + 4q = -6 + 3q Solving 2 + 4q = -6 + 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. 2 + 4q + -3q = -6 + 3q + -3q Combine like terms: 4q + -3q = 1q 2 + 1q = -6 + 3q + -3q Combine like terms: 3q + -3q = 0 2 + 1q = -6 + 0 2 + 1q = -6 Add '-2' to each side of the equation. 2 + -2 + 1q = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 1q = -6 + -2 1q = -6 + -2 Combine like terms: -6 + -2 = -8 1q = -8 Divide each side by '1'. q = -8 Simplifying q = -8
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