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Simplifying 4 + 2q + -1(3q + 9) + -1(5q + 8) = 0 Reorder the terms: 4 + 2q + -1(9 + 3q) + -1(5q + 8) = 0 4 + 2q + (9 * -1 + 3q * -1) + -1(5q + 8) = 0 4 + 2q + (-9 + -3q) + -1(5q + 8) = 0 Reorder the terms: 4 + 2q + -9 + -3q + -1(8 + 5q) = 0 4 + 2q + -9 + -3q + (8 * -1 + 5q * -1) = 0 4 + 2q + -9 + -3q + (-8 + -5q) = 0 Reorder the terms: 4 + -9 + -8 + 2q + -3q + -5q = 0 Combine like terms: 4 + -9 = -5 -5 + -8 + 2q + -3q + -5q = 0 Combine like terms: -5 + -8 = -13 -13 + 2q + -3q + -5q = 0 Combine like terms: 2q + -3q = -1q -13 + -1q + -5q = 0 Combine like terms: -1q + -5q = -6q -13 + -6q = 0 Solving -13 + -6q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -6q = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -6q = 0 + 13 -6q = 0 + 13 Combine like terms: 0 + 13 = 13 -6q = 13 Divide each side by '-6'. q = -2.166666667 Simplifying q = -2.166666667
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