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Simplifying 2 + -14q + 3q = -13q + 16 Combine like terms: -14q + 3q = -11q 2 + -11q = -13q + 16 Reorder the terms: 2 + -11q = 16 + -13q Solving 2 + -11q = 16 + -13q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '13q' to each side of the equation. 2 + -11q + 13q = 16 + -13q + 13q Combine like terms: -11q + 13q = 2q 2 + 2q = 16 + -13q + 13q Combine like terms: -13q + 13q = 0 2 + 2q = 16 + 0 2 + 2q = 16 Add '-2' to each side of the equation. 2 + -2 + 2q = 16 + -2 Combine like terms: 2 + -2 = 0 0 + 2q = 16 + -2 2q = 16 + -2 Combine like terms: 16 + -2 = 14 2q = 14 Divide each side by '2'. q = 7 Simplifying q = 7
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