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Simplifying 6z + 75 + -2z + 2 = 78 Reorder the terms: 75 + 2 + 6z + -2z = 78 Combine like terms: 75 + 2 = 77 77 + 6z + -2z = 78 Combine like terms: 6z + -2z = 4z 77 + 4z = 78 Solving 77 + 4z = 78 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + -77 + 4z = 78 + -77 Combine like terms: 77 + -77 = 0 0 + 4z = 78 + -77 4z = 78 + -77 Combine like terms: 78 + -77 = 1 4z = 1 Divide each side by '4'. z = 0.25 Simplifying z = 0.25
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