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