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Simplifying 8 + 4q + -1(5q + 3) + -1(3q + 6) = 0 Reorder the terms: 8 + 4q + -1(3 + 5q) + -1(3q + 6) = 0 8 + 4q + (3 * -1 + 5q * -1) + -1(3q + 6) = 0 8 + 4q + (-3 + -5q) + -1(3q + 6) = 0 Reorder the terms: 8 + 4q + -3 + -5q + -1(6 + 3q) = 0 8 + 4q + -3 + -5q + (6 * -1 + 3q * -1) = 0 8 + 4q + -3 + -5q + (-6 + -3q) = 0 Reorder the terms: 8 + -3 + -6 + 4q + -5q + -3q = 0 Combine like terms: 8 + -3 = 5 5 + -6 + 4q + -5q + -3q = 0 Combine like terms: 5 + -6 = -1 -1 + 4q + -5q + -3q = 0 Combine like terms: 4q + -5q = -1q -1 + -1q + -3q = 0 Combine like terms: -1q + -3q = -4q -1 + -4q = 0 Solving -1 + -4q = 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 + -4q = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4q = 0 + 1 -4q = 0 + 1 Combine like terms: 0 + 1 = 1 -4q = 1 Divide each side by '-4'. q = -0.25 Simplifying q = -0.25
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