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Simplifying 8q + -7 = 5q + 11 Reorder the terms: -7 + 8q = 5q + 11 Reorder the terms: -7 + 8q = 11 + 5q Solving -7 + 8q = 11 + 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 + 8q + -5q = 11 + 5q + -5q Combine like terms: 8q + -5q = 3q -7 + 3q = 11 + 5q + -5q Combine like terms: 5q + -5q = 0 -7 + 3q = 11 + 0 -7 + 3q = 11 Add '7' to each side of the equation. -7 + 7 + 3q = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 3q = 11 + 7 3q = 11 + 7 Combine like terms: 11 + 7 = 18 3q = 18 Divide each side by '3'. q = 6 Simplifying q = 6
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