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Simplifying 13z + 1 = 27z + -5 Reorder the terms: 1 + 13z = 27z + -5 Reorder the terms: 1 + 13z = -5 + 27z Solving 1 + 13z = -5 + 27z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-27z' to each side of the equation. 1 + 13z + -27z = -5 + 27z + -27z Combine like terms: 13z + -27z = -14z 1 + -14z = -5 + 27z + -27z Combine like terms: 27z + -27z = 0 1 + -14z = -5 + 0 1 + -14z = -5 Add '-1' to each side of the equation. 1 + -1 + -14z = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -14z = -5 + -1 -14z = -5 + -1 Combine like terms: -5 + -1 = -6 -14z = -6 Divide each side by '-14'. z = 0.4285714286 Simplifying z = 0.4285714286
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