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Simplifying 2q + 4q + -1q + -4q + q + -2 = 14 Reorder the terms: -2 + 2q + 4q + -1q + -4q + q = 14 Combine like terms: 2q + 4q = 6q -2 + 6q + -1q + -4q + q = 14 Combine like terms: 6q + -1q = 5q -2 + 5q + -4q + q = 14 Combine like terms: 5q + -4q = 1q -2 + 1q + q = 14 Combine like terms: 1q + q = 2q -2 + 2q = 14 Solving -2 + 2q = 14 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2q = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 2q = 14 + 2 2q = 14 + 2 Combine like terms: 14 + 2 = 16 2q = 16 Divide each side by '2'. q = 8 Simplifying q = 8
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