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Simplifying 5z + 23 + -1z + 12 = 51 Reorder the terms: 23 + 12 + 5z + -1z = 51 Combine like terms: 23 + 12 = 35 35 + 5z + -1z = 51 Combine like terms: 5z + -1z = 4z 35 + 4z = 51 Solving 35 + 4z = 51 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 4z = 51 + -35 Combine like terms: 35 + -35 = 0 0 + 4z = 51 + -35 4z = 51 + -35 Combine like terms: 51 + -35 = 16 4z = 16 Divide each side by '4'. z = 4 Simplifying z = 4
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