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Simplifying 8q + -14 = 5q + 10 Reorder the terms: -14 + 8q = 5q + 10 Reorder the terms: -14 + 8q = 10 + 5q Solving -14 + 8q = 10 + 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. -14 + 8q + -5q = 10 + 5q + -5q Combine like terms: 8q + -5q = 3q -14 + 3q = 10 + 5q + -5q Combine like terms: 5q + -5q = 0 -14 + 3q = 10 + 0 -14 + 3q = 10 Add '14' to each side of the equation. -14 + 14 + 3q = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 3q = 10 + 14 3q = 10 + 14 Combine like terms: 10 + 14 = 24 3q = 24 Divide each side by '3'. q = 8 Simplifying q = 8
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