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Simplifying 13q + -6q + q + -8q + 3q + 2 = 5 Reorder the terms: 2 + 13q + -6q + q + -8q + 3q = 5 Combine like terms: 13q + -6q = 7q 2 + 7q + q + -8q + 3q = 5 Combine like terms: 7q + q = 8q 2 + 8q + -8q + 3q = 5 Combine like terms: 8q + -8q = 0 2 + 0 + 3q = 5 2 + 3q = 5 Solving 2 + 3q = 5 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 + 3q = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 3q = 5 + -2 3q = 5 + -2 Combine like terms: 5 + -2 = 3 3q = 3 Divide each side by '3'. q = 1 Simplifying q = 1
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