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Simplifying 9z + 16 = 15z + -74 Reorder the terms: 16 + 9z = 15z + -74 Reorder the terms: 16 + 9z = -74 + 15z Solving 16 + 9z = -74 + 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. 16 + 9z + -15z = -74 + 15z + -15z Combine like terms: 9z + -15z = -6z 16 + -6z = -74 + 15z + -15z Combine like terms: 15z + -15z = 0 16 + -6z = -74 + 0 16 + -6z = -74 Add '-16' to each side of the equation. 16 + -16 + -6z = -74 + -16 Combine like terms: 16 + -16 = 0 0 + -6z = -74 + -16 -6z = -74 + -16 Combine like terms: -74 + -16 = -90 -6z = -90 Divide each side by '-6'. z = 15 Simplifying z = 15
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