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Simplifying z + 82 = 9z + -7 Reorder the terms: 82 + z = 9z + -7 Reorder the terms: 82 + z = -7 + 9z Solving 82 + 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. 82 + z + -9z = -7 + 9z + -9z Combine like terms: z + -9z = -8z 82 + -8z = -7 + 9z + -9z Combine like terms: 9z + -9z = 0 82 + -8z = -7 + 0 82 + -8z = -7 Add '-82' to each side of the equation. 82 + -82 + -8z = -7 + -82 Combine like terms: 82 + -82 = 0 0 + -8z = -7 + -82 -8z = -7 + -82 Combine like terms: -7 + -82 = -89 -8z = -89 Divide each side by '-8'. z = 11.125 Simplifying z = 11.125
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