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Simplifying 15q + -1(4q + -6) = 3q + 9 + -9q Reorder the terms: 15q + -1(-6 + 4q) = 3q + 9 + -9q 15q + (-6 * -1 + 4q * -1) = 3q + 9 + -9q 15q + (6 + -4q) = 3q + 9 + -9q Reorder the terms: 6 + 15q + -4q = 3q + 9 + -9q Combine like terms: 15q + -4q = 11q 6 + 11q = 3q + 9 + -9q Reorder the terms: 6 + 11q = 9 + 3q + -9q Combine like terms: 3q + -9q = -6q 6 + 11q = 9 + -6q Solving 6 + 11q = 9 + -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. 6 + 11q + 6q = 9 + -6q + 6q Combine like terms: 11q + 6q = 17q 6 + 17q = 9 + -6q + 6q Combine like terms: -6q + 6q = 0 6 + 17q = 9 + 0 6 + 17q = 9 Add '-6' to each side of the equation. 6 + -6 + 17q = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 17q = 9 + -6 17q = 9 + -6 Combine like terms: 9 + -6 = 3 17q = 3 Divide each side by '17'. q = 0.1764705882 Simplifying q = 0.1764705882
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