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Simplifying (5z + -9) + (4z + 6) = 0 Reorder the terms: (-9 + 5z) + (4z + 6) = 0 Remove parenthesis around (-9 + 5z) -9 + 5z + (4z + 6) = 0 Reorder the terms: -9 + 5z + (6 + 4z) = 0 Remove parenthesis around (6 + 4z) -9 + 5z + 6 + 4z = 0 Reorder the terms: -9 + 6 + 5z + 4z = 0 Combine like terms: -9 + 6 = -3 -3 + 5z + 4z = 0 Combine like terms: 5z + 4z = 9z -3 + 9z = 0 Solving -3 + 9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 9z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 9z = 0 + 3 9z = 0 + 3 Combine like terms: 0 + 3 = 3 9z = 3 Divide each side by '9'. z = 0.3333333333 Simplifying z = 0.3333333333
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