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Simplifying -7q + -5(2 + -1q) = -9 -7q + (2 * -5 + -1q * -5) = -9 -7q + (-10 + 5q) = -9 Reorder the terms: -10 + -7q + 5q = -9 Combine like terms: -7q + 5q = -2q -10 + -2q = -9 Solving -10 + -2q = -9 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -2q = -9 + 10 Combine like terms: -10 + 10 = 0 0 + -2q = -9 + 10 -2q = -9 + 10 Combine like terms: -9 + 10 = 1 -2q = 1 Divide each side by '-2'. q = -0.5 Simplifying q = -0.5
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