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Simplifying 9z + 7 + -5z = 79 + -5z Reorder the terms: 7 + 9z + -5z = 79 + -5z Combine like terms: 9z + -5z = 4z 7 + 4z = 79 + -5z Solving 7 + 4z = 79 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 7 + 4z + 5z = 79 + -5z + 5z Combine like terms: 4z + 5z = 9z 7 + 9z = 79 + -5z + 5z Combine like terms: -5z + 5z = 0 7 + 9z = 79 + 0 7 + 9z = 79 Add '-7' to each side of the equation. 7 + -7 + 9z = 79 + -7 Combine like terms: 7 + -7 = 0 0 + 9z = 79 + -7 9z = 79 + -7 Combine like terms: 79 + -7 = 72 9z = 72 Divide each side by '9'. z = 8 Simplifying z = 8
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