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Simplifying 4q + 8 = 3q + 17 Reorder the terms: 8 + 4q = 3q + 17 Reorder the terms: 8 + 4q = 17 + 3q Solving 8 + 4q = 17 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 8 + 4q + -3q = 17 + 3q + -3q Combine like terms: 4q + -3q = 1q 8 + 1q = 17 + 3q + -3q Combine like terms: 3q + -3q = 0 8 + 1q = 17 + 0 8 + 1q = 17 Add '-8' to each side of the equation. 8 + -8 + 1q = 17 + -8 Combine like terms: 8 + -8 = 0 0 + 1q = 17 + -8 1q = 17 + -8 Combine like terms: 17 + -8 = 9 1q = 9 Divide each side by '1'. q = 9 Simplifying q = 9
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