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Simplifying z + -81 = 9z + -7 Reorder the terms: -81 + z = 9z + -7 Reorder the terms: -81 + z = -7 + 9z Solving -81 + z = -7 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -81 + z + -9z = -7 + 9z + -9z Combine like terms: z + -9z = -8z -81 + -8z = -7 + 9z + -9z Combine like terms: 9z + -9z = 0 -81 + -8z = -7 + 0 -81 + -8z = -7 Add '81' to each side of the equation. -81 + 81 + -8z = -7 + 81 Combine like terms: -81 + 81 = 0 0 + -8z = -7 + 81 -8z = -7 + 81 Combine like terms: -7 + 81 = 74 -8z = 74 Divide each side by '-8'. z = -9.25 Simplifying z = -9.25
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