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Simplifying 9(7 + -1z) + z = -33 (7 * 9 + -1z * 9) + z = -33 (63 + -9z) + z = -33 Combine like terms: -9z + z = -8z 63 + -8z = -33 Solving 63 + -8z = -33 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + -8z = -33 + -63 Combine like terms: 63 + -63 = 0 0 + -8z = -33 + -63 -8z = -33 + -63 Combine like terms: -33 + -63 = -96 -8z = -96 Divide each side by '-8'. z = 12 Simplifying z = 12
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