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Simplifying 15z + 12 = 6z + 30 Reorder the terms: 12 + 15z = 6z + 30 Reorder the terms: 12 + 15z = 30 + 6z Solving 12 + 15z = 30 + 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. 12 + 15z + -6z = 30 + 6z + -6z Combine like terms: 15z + -6z = 9z 12 + 9z = 30 + 6z + -6z Combine like terms: 6z + -6z = 0 12 + 9z = 30 + 0 12 + 9z = 30 Add '-12' to each side of the equation. 12 + -12 + 9z = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 9z = 30 + -12 9z = 30 + -12 Combine like terms: 30 + -12 = 18 9z = 18 Divide each side by '9'. z = 2 Simplifying z = 2
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