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Simplifying 15z + 3 = 6z + -33 Reorder the terms: 3 + 15z = 6z + -33 Reorder the terms: 3 + 15z = -33 + 6z Solving 3 + 15z = -33 + 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. 3 + 15z + -6z = -33 + 6z + -6z Combine like terms: 15z + -6z = 9z 3 + 9z = -33 + 6z + -6z Combine like terms: 6z + -6z = 0 3 + 9z = -33 + 0 3 + 9z = -33 Add '-3' to each side of the equation. 3 + -3 + 9z = -33 + -3 Combine like terms: 3 + -3 = 0 0 + 9z = -33 + -3 9z = -33 + -3 Combine like terms: -33 + -3 = -36 9z = -36 Divide each side by '9'. z = -4 Simplifying z = -4
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