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Simplifying 9 + -2z = 7 + -5z Solving 9 + -2z = 7 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 9 + -2z + 5z = 7 + -5z + 5z Combine like terms: -2z + 5z = 3z 9 + 3z = 7 + -5z + 5z Combine like terms: -5z + 5z = 0 9 + 3z = 7 + 0 9 + 3z = 7 Add '-9' to each side of the equation. 9 + -9 + 3z = 7 + -9 Combine like terms: 9 + -9 = 0 0 + 3z = 7 + -9 3z = 7 + -9 Combine like terms: 7 + -9 = -2 3z = -2 Divide each side by '3'. z = -0.6666666667 Simplifying z = -0.6666666667
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