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Simplifying 51z + -5 + -29z + 23 = 114 Reorder the terms: -5 + 23 + 51z + -29z = 114 Combine like terms: -5 + 23 = 18 18 + 51z + -29z = 114 Combine like terms: 51z + -29z = 22z 18 + 22z = 114 Solving 18 + 22z = 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 + 22z = 114 + -18 Combine like terms: 18 + -18 = 0 0 + 22z = 114 + -18 22z = 114 + -18 Combine like terms: 114 + -18 = 96 22z = 96 Divide each side by '22'. z = 4.363636364 Simplifying z = 4.363636364
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