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Simplifying q + -1(3q + -3) = 4q + 9 Reorder the terms: q + -1(-3 + 3q) = 4q + 9 q + (-3 * -1 + 3q * -1) = 4q + 9 q + (3 + -3q) = 4q + 9 Reorder the terms: 3 + q + -3q = 4q + 9 Combine like terms: q + -3q = -2q 3 + -2q = 4q + 9 Reorder the terms: 3 + -2q = 9 + 4q Solving 3 + -2q = 9 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 3 + -2q + -4q = 9 + 4q + -4q Combine like terms: -2q + -4q = -6q 3 + -6q = 9 + 4q + -4q Combine like terms: 4q + -4q = 0 3 + -6q = 9 + 0 3 + -6q = 9 Add '-3' to each side of the equation. 3 + -3 + -6q = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -6q = 9 + -3 -6q = 9 + -3 Combine like terms: 9 + -3 = 6 -6q = 6 Divide each side by '-6'. q = -1 Simplifying q = -1
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