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Simplifying 3q + 2 = 8q + -22 Reorder the terms: 2 + 3q = 8q + -22 Reorder the terms: 2 + 3q = -22 + 8q Solving 2 + 3q = -22 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. 2 + 3q + -8q = -22 + 8q + -8q Combine like terms: 3q + -8q = -5q 2 + -5q = -22 + 8q + -8q Combine like terms: 8q + -8q = 0 2 + -5q = -22 + 0 2 + -5q = -22 Add '-2' to each side of the equation. 2 + -2 + -5q = -22 + -2 Combine like terms: 2 + -2 = 0 0 + -5q = -22 + -2 -5q = -22 + -2 Combine like terms: -22 + -2 = -24 -5q = -24 Divide each side by '-5'. q = 4.8 Simplifying q = 4.8
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