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Simplifying 9 + 13z + -2 = 9z + 61 + -5z Reorder the terms: 9 + -2 + 13z = 9z + 61 + -5z Combine like terms: 9 + -2 = 7 7 + 13z = 9z + 61 + -5z Reorder the terms: 7 + 13z = 61 + 9z + -5z Combine like terms: 9z + -5z = 4z 7 + 13z = 61 + 4z Solving 7 + 13z = 61 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 7 + 13z + -4z = 61 + 4z + -4z Combine like terms: 13z + -4z = 9z 7 + 9z = 61 + 4z + -4z Combine like terms: 4z + -4z = 0 7 + 9z = 61 + 0 7 + 9z = 61 Add '-7' to each side of the equation. 7 + -7 + 9z = 61 + -7 Combine like terms: 7 + -7 = 0 0 + 9z = 61 + -7 9z = 61 + -7 Combine like terms: 61 + -7 = 54 9z = 54 Divide each side by '9'. z = 6 Simplifying z = 6
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