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Simplifying 6 + 5q + -1(4q + 5) + -1(5q + 6) = 0 Reorder the terms: 6 + 5q + -1(5 + 4q) + -1(5q + 6) = 0 6 + 5q + (5 * -1 + 4q * -1) + -1(5q + 6) = 0 6 + 5q + (-5 + -4q) + -1(5q + 6) = 0 Reorder the terms: 6 + 5q + -5 + -4q + -1(6 + 5q) = 0 6 + 5q + -5 + -4q + (6 * -1 + 5q * -1) = 0 6 + 5q + -5 + -4q + (-6 + -5q) = 0 Reorder the terms: 6 + -5 + -6 + 5q + -4q + -5q = 0 Combine like terms: 6 + -5 = 1 1 + -6 + 5q + -4q + -5q = 0 Combine like terms: 1 + -6 = -5 -5 + 5q + -4q + -5q = 0 Combine like terms: 5q + -4q = 1q -5 + 1q + -5q = 0 Combine like terms: 1q + -5q = -4q -5 + -4q = 0 Solving -5 + -4q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4q = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4q = 0 + 5 -4q = 0 + 5 Combine like terms: 0 + 5 = 5 -4q = 5 Divide each side by '-4'. q = -1.25 Simplifying q = -1.25
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