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Simplifying (4q + 2) + -1(2q + -3) + (3q + -1) = 0 Reorder the terms: (2 + 4q) + -1(2q + -3) + (3q + -1) = 0 Remove parenthesis around (2 + 4q) 2 + 4q + -1(2q + -3) + (3q + -1) = 0 Reorder the terms: 2 + 4q + -1(-3 + 2q) + (3q + -1) = 0 2 + 4q + (-3 * -1 + 2q * -1) + (3q + -1) = 0 2 + 4q + (3 + -2q) + (3q + -1) = 0 Reorder the terms: 2 + 4q + 3 + -2q + (-1 + 3q) = 0 Remove parenthesis around (-1 + 3q) 2 + 4q + 3 + -2q + -1 + 3q = 0 Reorder the terms: 2 + 3 + -1 + 4q + -2q + 3q = 0 Combine like terms: 2 + 3 = 5 5 + -1 + 4q + -2q + 3q = 0 Combine like terms: 5 + -1 = 4 4 + 4q + -2q + 3q = 0 Combine like terms: 4q + -2q = 2q 4 + 2q + 3q = 0 Combine like terms: 2q + 3q = 5q 4 + 5q = 0 Solving 4 + 5q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5q = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5q = 0 + -4 5q = 0 + -4 Combine like terms: 0 + -4 = -4 5q = -4 Divide each side by '5'. q = -0.8 Simplifying q = -0.8
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