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Simplifying 14q + -17 = 8q + 13 Reorder the terms: -17 + 14q = 8q + 13 Reorder the terms: -17 + 14q = 13 + 8q Solving -17 + 14q = 13 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. -17 + 14q + -8q = 13 + 8q + -8q Combine like terms: 14q + -8q = 6q -17 + 6q = 13 + 8q + -8q Combine like terms: 8q + -8q = 0 -17 + 6q = 13 + 0 -17 + 6q = 13 Add '17' to each side of the equation. -17 + 17 + 6q = 13 + 17 Combine like terms: -17 + 17 = 0 0 + 6q = 13 + 17 6q = 13 + 17 Combine like terms: 13 + 17 = 30 6q = 30 Divide each side by '6'. q = 5 Simplifying q = 5
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