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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 = -15 -15 + 5z + 4z = 0 Combine like terms: 5z + 4z = 9z -15 + 9z = 0 Solving -15 + 9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 9z = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 9z = 0 + 15 9z = 0 + 15 Combine like terms: 0 + 15 = 15 9z = 15 Divide each side by '9'. z = 1.666666667 Simplifying z = 1.666666667
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