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Simplifying 4 + 15z + -1 = 9z + 15 + -6z Reorder the terms: 4 + -1 + 15z = 9z + 15 + -6z Combine like terms: 4 + -1 = 3 3 + 15z = 9z + 15 + -6z Reorder the terms: 3 + 15z = 15 + 9z + -6z Combine like terms: 9z + -6z = 3z 3 + 15z = 15 + 3z Solving 3 + 15z = 15 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 3 + 15z + -3z = 15 + 3z + -3z Combine like terms: 15z + -3z = 12z 3 + 12z = 15 + 3z + -3z Combine like terms: 3z + -3z = 0 3 + 12z = 15 + 0 3 + 12z = 15 Add '-3' to each side of the equation. 3 + -3 + 12z = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 12z = 15 + -3 12z = 15 + -3 Combine like terms: 15 + -3 = 12 12z = 12 Divide each side by '12'. z = 1 Simplifying z = 1
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