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Simplifying 10q + 30 = 17q + 9 Reorder the terms: 30 + 10q = 17q + 9 Reorder the terms: 30 + 10q = 9 + 17q Solving 30 + 10q = 9 + 17q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-17q' to each side of the equation. 30 + 10q + -17q = 9 + 17q + -17q Combine like terms: 10q + -17q = -7q 30 + -7q = 9 + 17q + -17q Combine like terms: 17q + -17q = 0 30 + -7q = 9 + 0 30 + -7q = 9 Add '-30' to each side of the equation. 30 + -30 + -7q = 9 + -30 Combine like terms: 30 + -30 = 0 0 + -7q = 9 + -30 -7q = 9 + -30 Combine like terms: 9 + -30 = -21 -7q = -21 Divide each side by '-7'. q = 3 Simplifying q = 3
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