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Simplifying 5 + -6 = 9 + -6z Combine like terms: 5 + -6 = -1 -1 = 9 + -6z Solving -1 = 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. -1 + 6z = 9 + -6z + 6z Combine like terms: -6z + 6z = 0 -1 + 6z = 9 + 0 -1 + 6z = 9 Add '1' to each side of the equation. -1 + 1 + 6z = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 6z = 9 + 1 6z = 9 + 1 Combine like terms: 9 + 1 = 10 6z = 10 Divide each side by '6'. z = 1.666666667 Simplifying z = 1.666666667
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