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