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Simplifying 7 + -5z = 9 + 6z Solving 7 + -5z = 9 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 7 + -5z + -6z = 9 + 6z + -6z Combine like terms: -5z + -6z = -11z 7 + -11z = 9 + 6z + -6z Combine like terms: 6z + -6z = 0 7 + -11z = 9 + 0 7 + -11z = 9 Add '-7' to each side of the equation. 7 + -7 + -11z = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -11z = 9 + -7 -11z = 9 + -7 Combine like terms: 9 + -7 = 2 -11z = 2 Divide each side by '-11'. z = -0.1818181818 Simplifying z = -0.1818181818
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