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Simplifying -1z + 86 = 7z + -2 Reorder the terms: 86 + -1z = 7z + -2 Reorder the terms: 86 + -1z = -2 + 7z Solving 86 + -1z = -2 + 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. 86 + -1z + -7z = -2 + 7z + -7z Combine like terms: -1z + -7z = -8z 86 + -8z = -2 + 7z + -7z Combine like terms: 7z + -7z = 0 86 + -8z = -2 + 0 86 + -8z = -2 Add '-86' to each side of the equation. 86 + -86 + -8z = -2 + -86 Combine like terms: 86 + -86 = 0 0 + -8z = -2 + -86 -8z = -2 + -86 Combine like terms: -2 + -86 = -88 -8z = -88 Divide each side by '-8'. z = 11 Simplifying z = 11
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