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Simplifying 11q + 7 = 5q + 55 Reorder the terms: 7 + 11q = 5q + 55 Reorder the terms: 7 + 11q = 55 + 5q Solving 7 + 11q = 55 + 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. 7 + 11q + -5q = 55 + 5q + -5q Combine like terms: 11q + -5q = 6q 7 + 6q = 55 + 5q + -5q Combine like terms: 5q + -5q = 0 7 + 6q = 55 + 0 7 + 6q = 55 Add '-7' to each side of the equation. 7 + -7 + 6q = 55 + -7 Combine like terms: 7 + -7 = 0 0 + 6q = 55 + -7 6q = 55 + -7 Combine like terms: 55 + -7 = 48 6q = 48 Divide each side by '6'. q = 8 Simplifying q = 8
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