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Simplifying -13z + 2 = -14z + 20 Reorder the terms: 2 + -13z = -14z + 20 Reorder the terms: 2 + -13z = 20 + -14z Solving 2 + -13z = 20 + -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. 2 + -13z + 14z = 20 + -14z + 14z Combine like terms: -13z + 14z = 1z 2 + 1z = 20 + -14z + 14z Combine like terms: -14z + 14z = 0 2 + 1z = 20 + 0 2 + 1z = 20 Add '-2' to each side of the equation. 2 + -2 + 1z = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 20 + -2 1z = 20 + -2 Combine like terms: 20 + -2 = 18 1z = 18 Divide each side by '1'. z = 18 Simplifying z = 18
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