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Simplifying 4 + 15z + -2 = 8z + 74 + -2z Reorder the terms: 4 + -2 + 15z = 8z + 74 + -2z Combine like terms: 4 + -2 = 2 2 + 15z = 8z + 74 + -2z Reorder the terms: 2 + 15z = 74 + 8z + -2z Combine like terms: 8z + -2z = 6z 2 + 15z = 74 + 6z Solving 2 + 15z = 74 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 2 + 15z + -6z = 74 + 6z + -6z Combine like terms: 15z + -6z = 9z 2 + 9z = 74 + 6z + -6z Combine like terms: 6z + -6z = 0 2 + 9z = 74 + 0 2 + 9z = 74 Add '-2' to each side of the equation. 2 + -2 + 9z = 74 + -2 Combine like terms: 2 + -2 = 0 0 + 9z = 74 + -2 9z = 74 + -2 Combine like terms: 74 + -2 = 72 9z = 72 Divide each side by '9'. z = 8 Simplifying z = 8
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