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Simplifying 7 + 4q + -1(5q + 8) + -1(2q + 5) = 0 Reorder the terms: 7 + 4q + -1(8 + 5q) + -1(2q + 5) = 0 7 + 4q + (8 * -1 + 5q * -1) + -1(2q + 5) = 0 7 + 4q + (-8 + -5q) + -1(2q + 5) = 0 Reorder the terms: 7 + 4q + -8 + -5q + -1(5 + 2q) = 0 7 + 4q + -8 + -5q + (5 * -1 + 2q * -1) = 0 7 + 4q + -8 + -5q + (-5 + -2q) = 0 Reorder the terms: 7 + -8 + -5 + 4q + -5q + -2q = 0 Combine like terms: 7 + -8 = -1 -1 + -5 + 4q + -5q + -2q = 0 Combine like terms: -1 + -5 = -6 -6 + 4q + -5q + -2q = 0 Combine like terms: 4q + -5q = -1q -6 + -1q + -2q = 0 Combine like terms: -1q + -2q = -3q -6 + -3q = 0 Solving -6 + -3q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -3q = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -3q = 0 + 6 -3q = 0 + 6 Combine like terms: 0 + 6 = 6 -3q = 6 Divide each side by '-3'. q = -2 Simplifying q = -2
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