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Simplifying 9 + 2q + -1(4q + 3) + -1(4q + 7) = 0 Reorder the terms: 9 + 2q + -1(3 + 4q) + -1(4q + 7) = 0 9 + 2q + (3 * -1 + 4q * -1) + -1(4q + 7) = 0 9 + 2q + (-3 + -4q) + -1(4q + 7) = 0 Reorder the terms: 9 + 2q + -3 + -4q + -1(7 + 4q) = 0 9 + 2q + -3 + -4q + (7 * -1 + 4q * -1) = 0 9 + 2q + -3 + -4q + (-7 + -4q) = 0 Reorder the terms: 9 + -3 + -7 + 2q + -4q + -4q = 0 Combine like terms: 9 + -3 = 6 6 + -7 + 2q + -4q + -4q = 0 Combine like terms: 6 + -7 = -1 -1 + 2q + -4q + -4q = 0 Combine like terms: 2q + -4q = -2q -1 + -2q + -4q = 0 Combine like terms: -2q + -4q = -6q -1 + -6q = 0 Solving -1 + -6q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -6q = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6q = 0 + 1 -6q = 0 + 1 Combine like terms: 0 + 1 = 1 -6q = 1 Divide each side by '-6'. q = -0.1666666667 Simplifying q = -0.1666666667
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