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Simplifying -1z + 5 = 7z + 13 Reorder the terms: 5 + -1z = 7z + 13 Reorder the terms: 5 + -1z = 13 + 7z Solving 5 + -1z = 13 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 5 + -1z + -7z = 13 + 7z + -7z Combine like terms: -1z + -7z = -8z 5 + -8z = 13 + 7z + -7z Combine like terms: 7z + -7z = 0 5 + -8z = 13 + 0 5 + -8z = 13 Add '-5' to each side of the equation. 5 + -5 + -8z = 13 + -5 Combine like terms: 5 + -5 = 0 0 + -8z = 13 + -5 -8z = 13 + -5 Combine like terms: 13 + -5 = 8 -8z = 8 Divide each side by '-8'. z = -1 Simplifying z = -1
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