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Simplifying -8q + 18q + 10 = 7q + -17 Reorder the terms: 10 + -8q + 18q = 7q + -17 Combine like terms: -8q + 18q = 10q 10 + 10q = 7q + -17 Reorder the terms: 10 + 10q = -17 + 7q Solving 10 + 10q = -17 + 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. 10 + 10q + -7q = -17 + 7q + -7q Combine like terms: 10q + -7q = 3q 10 + 3q = -17 + 7q + -7q Combine like terms: 7q + -7q = 0 10 + 3q = -17 + 0 10 + 3q = -17 Add '-10' to each side of the equation. 10 + -10 + 3q = -17 + -10 Combine like terms: 10 + -10 = 0 0 + 3q = -17 + -10 3q = -17 + -10 Combine like terms: -17 + -10 = -27 3q = -27 Divide each side by '3'. q = -9 Simplifying q = -9
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