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Simplifying 2q + 1 = 5q + -14 Reorder the terms: 1 + 2q = 5q + -14 Reorder the terms: 1 + 2q = -14 + 5q Solving 1 + 2q = -14 + 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. 1 + 2q + -5q = -14 + 5q + -5q Combine like terms: 2q + -5q = -3q 1 + -3q = -14 + 5q + -5q Combine like terms: 5q + -5q = 0 1 + -3q = -14 + 0 1 + -3q = -14 Add '-1' to each side of the equation. 1 + -1 + -3q = -14 + -1 Combine like terms: 1 + -1 = 0 0 + -3q = -14 + -1 -3q = -14 + -1 Combine like terms: -14 + -1 = -15 -3q = -15 Divide each side by '-3'. q = 5 Simplifying q = 5
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