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Simplifying 29 + 10z + 9q + -3z + -5q + 11 = 0 Reorder the terms: 29 + 11 + 9q + -5q + 10z + -3z = 0 Combine like terms: 29 + 11 = 40 40 + 9q + -5q + 10z + -3z = 0 Combine like terms: 9q + -5q = 4q 40 + 4q + 10z + -3z = 0 Combine like terms: 10z + -3z = 7z 40 + 4q + 7z = 0 Solving 40 + 4q + 7z = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + 4q + -40 + 7z = 0 + -40 Reorder the terms: 40 + -40 + 4q + 7z = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 4q + 7z = 0 + -40 4q + 7z = 0 + -40 Combine like terms: 0 + -40 = -40 4q + 7z = -40 Add '-7z' to each side of the equation. 4q + 7z + -7z = -40 + -7z Combine like terms: 7z + -7z = 0 4q + 0 = -40 + -7z 4q = -40 + -7z Divide each side by '4'. q = -10 + -1.75z Simplifying q = -10 + -1.75z
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