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Simplifying -6q + -2 + 8q = 5q + 4 Reorder the terms: -2 + -6q + 8q = 5q + 4 Combine like terms: -6q + 8q = 2q -2 + 2q = 5q + 4 Reorder the terms: -2 + 2q = 4 + 5q Solving -2 + 2q = 4 + 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. -2 + 2q + -5q = 4 + 5q + -5q Combine like terms: 2q + -5q = -3q -2 + -3q = 4 + 5q + -5q Combine like terms: 5q + -5q = 0 -2 + -3q = 4 + 0 -2 + -3q = 4 Add '2' to each side of the equation. -2 + 2 + -3q = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -3q = 4 + 2 -3q = 4 + 2 Combine like terms: 4 + 2 = 6 -3q = 6 Divide each side by '-3'. q = -2 Simplifying q = -2
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