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Simplifying (7q + 2z) + (q + 5z) = 0 Remove parenthesis around (7q + 2z) 7q + 2z + (q + 5z) = 0 Remove parenthesis around (q + 5z) 7q + 2z + q + 5z = 0 Reorder the terms: 7q + q + 2z + 5z = 0 Combine like terms: 7q + q = 8q 8q + 2z + 5z = 0 Combine like terms: 2z + 5z = 7z 8q + 7z = 0 Solving 8q + 7z = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7z' to each side of the equation. 8q + 7z + -7z = 0 + -7z Combine like terms: 7z + -7z = 0 8q + 0 = 0 + -7z 8q = 0 + -7z Remove the zero: 8q = -7z Divide each side by '8'. q = -0.875z Simplifying q = -0.875z
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