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Simplifying 4q + 2 = -5q + 8 Reorder the terms: 2 + 4q = -5q + 8 Reorder the terms: 2 + 4q = 8 + -5q Solving 2 + 4q = 8 + -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 = 8 + -5q + 5q Combine like terms: 4q + 5q = 9q 2 + 9q = 8 + -5q + 5q Combine like terms: -5q + 5q = 0 2 + 9q = 8 + 0 2 + 9q = 8 Add '-2' to each side of the equation. 2 + -2 + 9q = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 9q = 8 + -2 9q = 8 + -2 Combine like terms: 8 + -2 = 6 9q = 6 Divide each side by '9'. q = 0.6666666667 Simplifying q = 0.6666666667
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