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Simplifying 6z + 14 = 5z + 13 Reorder the terms: 14 + 6z = 5z + 13 Reorder the terms: 14 + 6z = 13 + 5z Solving 14 + 6z = 13 + 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. 14 + 6z + -5z = 13 + 5z + -5z Combine like terms: 6z + -5z = 1z 14 + 1z = 13 + 5z + -5z Combine like terms: 5z + -5z = 0 14 + 1z = 13 + 0 14 + 1z = 13 Add '-14' to each side of the equation. 14 + -14 + 1z = 13 + -14 Combine like terms: 14 + -14 = 0 0 + 1z = 13 + -14 1z = 13 + -14 Combine like terms: 13 + -14 = -1 1z = -1 Divide each side by '1'. z = -1 Simplifying z = -1
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