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Simplifying q + 2 = 7q + 3q + -20 Reorder the terms: 2 + q = 7q + 3q + -20 Reorder the terms: 2 + q = -20 + 7q + 3q Combine like terms: 7q + 3q = 10q 2 + q = -20 + 10q Solving 2 + q = -20 + 10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10q' to each side of the equation. 2 + q + -10q = -20 + 10q + -10q Combine like terms: q + -10q = -9q 2 + -9q = -20 + 10q + -10q Combine like terms: 10q + -10q = 0 2 + -9q = -20 + 0 2 + -9q = -20 Add '-2' to each side of the equation. 2 + -2 + -9q = -20 + -2 Combine like terms: 2 + -2 = 0 0 + -9q = -20 + -2 -9q = -20 + -2 Combine like terms: -20 + -2 = -22 -9q = -22 Divide each side by '-9'. q = 2.444444444 Simplifying q = 2.444444444
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