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Simplifying 86 + -7z = z + 46 Reorder the terms: 86 + -7z = 46 + z Solving 86 + -7z = 46 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 86 + -7z + -1z = 46 + z + -1z Combine like terms: -7z + -1z = -8z 86 + -8z = 46 + z + -1z Combine like terms: z + -1z = 0 86 + -8z = 46 + 0 86 + -8z = 46 Add '-86' to each side of the equation. 86 + -86 + -8z = 46 + -86 Combine like terms: 86 + -86 = 0 0 + -8z = 46 + -86 -8z = 46 + -86 Combine like terms: 46 + -86 = -40 -8z = -40 Divide each side by '-8'. z = 5 Simplifying z = 5
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