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Simplifying 10z + 9 = 37z + 27 Reorder the terms: 9 + 10z = 37z + 27 Reorder the terms: 9 + 10z = 27 + 37z Solving 9 + 10z = 27 + 37z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-37z' to each side of the equation. 9 + 10z + -37z = 27 + 37z + -37z Combine like terms: 10z + -37z = -27z 9 + -27z = 27 + 37z + -37z Combine like terms: 37z + -37z = 0 9 + -27z = 27 + 0 9 + -27z = 27 Add '-9' to each side of the equation. 9 + -9 + -27z = 27 + -9 Combine like terms: 9 + -9 = 0 0 + -27z = 27 + -9 -27z = 27 + -9 Combine like terms: 27 + -9 = 18 -27z = 18 Divide each side by '-27'. z = -0.6666666667 Simplifying z = -0.6666666667
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