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Simplifying 9z + -2(2z + -7) + 4(3 + -5z) = 0 Reorder the terms: 9z + -2(-7 + 2z) + 4(3 + -5z) = 0 9z + (-7 * -2 + 2z * -2) + 4(3 + -5z) = 0 9z + (14 + -4z) + 4(3 + -5z) = 0 9z + 14 + -4z + (3 * 4 + -5z * 4) = 0 9z + 14 + -4z + (12 + -20z) = 0 Reorder the terms: 14 + 12 + 9z + -4z + -20z = 0 Combine like terms: 14 + 12 = 26 26 + 9z + -4z + -20z = 0 Combine like terms: 9z + -4z = 5z 26 + 5z + -20z = 0 Combine like terms: 5z + -20z = -15z 26 + -15z = 0 Solving 26 + -15z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -15z = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -15z = 0 + -26 -15z = 0 + -26 Combine like terms: 0 + -26 = -26 -15z = -26 Divide each side by '-15'. z = 1.733333333 Simplifying z = 1.733333333
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