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Simplifying 7 + -9z = 81 + z Solving 7 + -9z = 81 + 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. 7 + -9z + -1z = 81 + z + -1z Combine like terms: -9z + -1z = -10z 7 + -10z = 81 + z + -1z Combine like terms: z + -1z = 0 7 + -10z = 81 + 0 7 + -10z = 81 Add '-7' to each side of the equation. 7 + -7 + -10z = 81 + -7 Combine like terms: 7 + -7 = 0 0 + -10z = 81 + -7 -10z = 81 + -7 Combine like terms: 81 + -7 = 74 -10z = 74 Divide each side by '-10'. z = -7.4 Simplifying z = -7.4
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