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Simplifying 9z + -3(3z + -7) + 5(4 + -6z) = 0 Reorder the terms: 9z + -3(-7 + 3z) + 5(4 + -6z) = 0 9z + (-7 * -3 + 3z * -3) + 5(4 + -6z) = 0 9z + (21 + -9z) + 5(4 + -6z) = 0 9z + 21 + -9z + (4 * 5 + -6z * 5) = 0 9z + 21 + -9z + (20 + -30z) = 0 Reorder the terms: 21 + 20 + 9z + -9z + -30z = 0 Combine like terms: 21 + 20 = 41 41 + 9z + -9z + -30z = 0 Combine like terms: 9z + -9z = 0 41 + 0 + -30z = 0 41 + -30z = 0 Solving 41 + -30z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + -30z = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -30z = 0 + -41 -30z = 0 + -41 Combine like terms: 0 + -41 = -41 -30z = -41 Divide each side by '-30'. z = 1.366666667 Simplifying z = 1.366666667
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