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