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Simplifying 3 + 2q + -1(4q + 9) + -1(5q + 6) = 0 Reorder the terms: 3 + 2q + -1(9 + 4q) + -1(5q + 6) = 0 3 + 2q + (9 * -1 + 4q * -1) + -1(5q + 6) = 0 3 + 2q + (-9 + -4q) + -1(5q + 6) = 0 Reorder the terms: 3 + 2q + -9 + -4q + -1(6 + 5q) = 0 3 + 2q + -9 + -4q + (6 * -1 + 5q * -1) = 0 3 + 2q + -9 + -4q + (-6 + -5q) = 0 Reorder the terms: 3 + -9 + -6 + 2q + -4q + -5q = 0 Combine like terms: 3 + -9 = -6 -6 + -6 + 2q + -4q + -5q = 0 Combine like terms: -6 + -6 = -12 -12 + 2q + -4q + -5q = 0 Combine like terms: 2q + -4q = -2q -12 + -2q + -5q = 0 Combine like terms: -2q + -5q = -7q -12 + -7q = 0 Solving -12 + -7q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -7q = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -7q = 0 + 12 -7q = 0 + 12 Combine like terms: 0 + 12 = 12 -7q = 12 Divide each side by '-7'. q = -1.714285714 Simplifying q = -1.714285714
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