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Simplifying 3 + 4q + -1(5q + 4) + -1(2q + 7) = 0 Reorder the terms: 3 + 4q + -1(4 + 5q) + -1(2q + 7) = 0 3 + 4q + (4 * -1 + 5q * -1) + -1(2q + 7) = 0 3 + 4q + (-4 + -5q) + -1(2q + 7) = 0 Reorder the terms: 3 + 4q + -4 + -5q + -1(7 + 2q) = 0 3 + 4q + -4 + -5q + (7 * -1 + 2q * -1) = 0 3 + 4q + -4 + -5q + (-7 + -2q) = 0 Reorder the terms: 3 + -4 + -7 + 4q + -5q + -2q = 0 Combine like terms: 3 + -4 = -1 -1 + -7 + 4q + -5q + -2q = 0 Combine like terms: -1 + -7 = -8 -8 + 4q + -5q + -2q = 0 Combine like terms: 4q + -5q = -1q -8 + -1q + -2q = 0 Combine like terms: -1q + -2q = -3q -8 + -3q = 0 Solving -8 + -3q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3q = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3q = 0 + 8 -3q = 0 + 8 Combine like terms: 0 + 8 = 8 -3q = 8 Divide each side by '-3'. q = -2.666666667 Simplifying q = -2.666666667
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