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Simplifying -5z + 975 + -7z = 515 Reorder the terms: 975 + -5z + -7z = 515 Combine like terms: -5z + -7z = -12z 975 + -12z = 515 Solving 975 + -12z = 515 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-975' to each side of the equation. 975 + -975 + -12z = 515 + -975 Combine like terms: 975 + -975 = 0 0 + -12z = 515 + -975 -12z = 515 + -975 Combine like terms: 515 + -975 = -460 -12z = -460 Divide each side by '-12'. z = 38.33333333 Simplifying z = 38.33333333
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