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Simplifying 10 + z + -1 = 7z + -5 Reorder the terms: 10 + -1 + z = 7z + -5 Combine like terms: 10 + -1 = 9 9 + z = 7z + -5 Reorder the terms: 9 + z = -5 + 7z Solving 9 + z = -5 + 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. 9 + z + -7z = -5 + 7z + -7z Combine like terms: z + -7z = -6z 9 + -6z = -5 + 7z + -7z Combine like terms: 7z + -7z = 0 9 + -6z = -5 + 0 9 + -6z = -5 Add '-9' to each side of the equation. 9 + -9 + -6z = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -6z = -5 + -9 -6z = -5 + -9 Combine like terms: -5 + -9 = -14 -6z = -14 Divide each side by '-6'. z = 2.333333333 Simplifying z = 2.333333333
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