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Simplifying 6 + 5q + -3q + 14 = 3q + 5 + 2q Reorder the terms: 6 + 14 + 5q + -3q = 3q + 5 + 2q Combine like terms: 6 + 14 = 20 20 + 5q + -3q = 3q + 5 + 2q Combine like terms: 5q + -3q = 2q 20 + 2q = 3q + 5 + 2q Reorder the terms: 20 + 2q = 5 + 3q + 2q Combine like terms: 3q + 2q = 5q 20 + 2q = 5 + 5q Solving 20 + 2q = 5 + 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. 20 + 2q + -5q = 5 + 5q + -5q Combine like terms: 2q + -5q = -3q 20 + -3q = 5 + 5q + -5q Combine like terms: 5q + -5q = 0 20 + -3q = 5 + 0 20 + -3q = 5 Add '-20' to each side of the equation. 20 + -20 + -3q = 5 + -20 Combine like terms: 20 + -20 = 0 0 + -3q = 5 + -20 -3q = 5 + -20 Combine like terms: 5 + -20 = -15 -3q = -15 Divide each side by '-3'. q = 5 Simplifying q = 5
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