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Simplifying q(2q + 3) + 20 = 2q(q + -3) Reorder the terms: q(3 + 2q) + 20 = 2q(q + -3) (3 * q + 2q * q) + 20 = 2q(q + -3) (3q + 2q2) + 20 = 2q(q + -3) Reorder the terms: 20 + 3q + 2q2 = 2q(q + -3) Reorder the terms: 20 + 3q + 2q2 = 2q(-3 + q) 20 + 3q + 2q2 = (-3 * 2q + q * 2q) 20 + 3q + 2q2 = (-6q + 2q2) Add '-2q2' to each side of the equation. 20 + 3q + 2q2 + -2q2 = -6q + 2q2 + -2q2 Combine like terms: 2q2 + -2q2 = 0 20 + 3q + 0 = -6q + 2q2 + -2q2 20 + 3q = -6q + 2q2 + -2q2 Combine like terms: 2q2 + -2q2 = 0 20 + 3q = -6q + 0 20 + 3q = -6q Solving 20 + 3q = -6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '6q' to each side of the equation. 20 + 3q + 6q = -6q + 6q Combine like terms: 3q + 6q = 9q 20 + 9q = -6q + 6q Combine like terms: -6q + 6q = 0 20 + 9q = 0 Add '-20' to each side of the equation. 20 + -20 + 9q = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 9q = 0 + -20 9q = 0 + -20 Combine like terms: 0 + -20 = -20 9q = -20 Divide each side by '9'. q = -2.222222222 Simplifying q = -2.222222222
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