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Simplifying 2q + 4q + -5q + -1q + 2q + -1 = 15 Reorder the terms: -1 + 2q + 4q + -5q + -1q + 2q = 15 Combine like terms: 2q + 4q = 6q -1 + 6q + -5q + -1q + 2q = 15 Combine like terms: 6q + -5q = 1q -1 + 1q + -1q + 2q = 15 Combine like terms: 1q + -1q = 0 -1 + 0 + 2q = 15 -1 + 2q = 15 Solving -1 + 2q = 15 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2q = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 2q = 15 + 1 2q = 15 + 1 Combine like terms: 15 + 1 = 16 2q = 16 Divide each side by '2'. q = 8 Simplifying q = 8
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