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Simplifying 5z + -5 + -29z + 23 = -114 Reorder the terms: -5 + 23 + 5z + -29z = -114 Combine like terms: -5 + 23 = 18 18 + 5z + -29z = -114 Combine like terms: 5z + -29z = -24z 18 + -24z = -114 Solving 18 + -24z = -114 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -24z = -114 + -18 Combine like terms: 18 + -18 = 0 0 + -24z = -114 + -18 -24z = -114 + -18 Combine like terms: -114 + -18 = -132 -24z = -132 Divide each side by '-24'. z = 5.5 Simplifying z = 5.5
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