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Simplifying 13q + 3q + -14q + 2q + -2 = 18 Reorder the terms: -2 + 13q + 3q + -14q + 2q = 18 Combine like terms: 13q + 3q = 16q -2 + 16q + -14q + 2q = 18 Combine like terms: 16q + -14q = 2q -2 + 2q + 2q = 18 Combine like terms: 2q + 2q = 4q -2 + 4q = 18 Solving -2 + 4q = 18 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 + 4q = 18 + 2 Combine like terms: -2 + 2 = 0 0 + 4q = 18 + 2 4q = 18 + 2 Combine like terms: 18 + 2 = 20 4q = 20 Divide each side by '4'. q = 5 Simplifying q = 5
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