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Simplifying -2q + 8 = -6 + 5q Reorder the terms: 8 + -2q = -6 + 5q Solving 8 + -2q = -6 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. 8 + -2q + -5q = -6 + 5q + -5q Combine like terms: -2q + -5q = -7q 8 + -7q = -6 + 5q + -5q Combine like terms: 5q + -5q = 0 8 + -7q = -6 + 0 8 + -7q = -6 Add '-8' to each side of the equation. 8 + -8 + -7q = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -7q = -6 + -8 -7q = -6 + -8 Combine like terms: -6 + -8 = -14 -7q = -14 Divide each side by '-7'. q = 2 Simplifying q = 2
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