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Simplifying 11q + -15 = 6q + 9 + -1q Reorder the terms: -15 + 11q = 6q + 9 + -1q Reorder the terms: -15 + 11q = 9 + 6q + -1q Combine like terms: 6q + -1q = 5q -15 + 11q = 9 + 5q Solving -15 + 11q = 9 + 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. -15 + 11q + -5q = 9 + 5q + -5q Combine like terms: 11q + -5q = 6q -15 + 6q = 9 + 5q + -5q Combine like terms: 5q + -5q = 0 -15 + 6q = 9 + 0 -15 + 6q = 9 Add '15' to each side of the equation. -15 + 15 + 6q = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 6q = 9 + 15 6q = 9 + 15 Combine like terms: 9 + 15 = 24 6q = 24 Divide each side by '6'. q = 4 Simplifying q = 4
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