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Simplifying 4q + 2 = 5q + -6 Reorder the terms: 2 + 4q = 5q + -6 Reorder the terms: 2 + 4q = -6 + 5q Solving 2 + 4q = -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. 2 + 4q + -5q = -6 + 5q + -5q Combine like terms: 4q + -5q = -1q 2 + -1q = -6 + 5q + -5q Combine like terms: 5q + -5q = 0 2 + -1q = -6 + 0 2 + -1q = -6 Add '-2' to each side of the equation. 2 + -2 + -1q = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -1q = -6 + -2 -1q = -6 + -2 Combine like terms: -6 + -2 = -8 -1q = -8 Divide each side by '-1'. q = 8 Simplifying q = 8
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