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Simplifying q + 64 = 6q + -86 Reorder the terms: 64 + q = 6q + -86 Reorder the terms: 64 + q = -86 + 6q Solving 64 + q = -86 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. 64 + q + -6q = -86 + 6q + -6q Combine like terms: q + -6q = -5q 64 + -5q = -86 + 6q + -6q Combine like terms: 6q + -6q = 0 64 + -5q = -86 + 0 64 + -5q = -86 Add '-64' to each side of the equation. 64 + -64 + -5q = -86 + -64 Combine like terms: 64 + -64 = 0 0 + -5q = -86 + -64 -5q = -86 + -64 Combine like terms: -86 + -64 = -150 -5q = -150 Divide each side by '-5'. q = 30 Simplifying q = 30
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