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Simplifying 2q + 5q + -12q + 14q + -10q + -1 = 13 Reorder the terms: -1 + 2q + 5q + -12q + 14q + -10q = 13 Combine like terms: 2q + 5q = 7q -1 + 7q + -12q + 14q + -10q = 13 Combine like terms: 7q + -12q = -5q -1 + -5q + 14q + -10q = 13 Combine like terms: -5q + 14q = 9q -1 + 9q + -10q = 13 Combine like terms: 9q + -10q = -1q -1 + -1q = 13 Solving -1 + -1q = 13 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 + -1q = 13 + 1 Combine like terms: -1 + 1 = 0 0 + -1q = 13 + 1 -1q = 13 + 1 Combine like terms: 13 + 1 = 14 -1q = 14 Divide each side by '-1'. q = -14 Simplifying q = -14
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