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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 = -7 -1z = -7 Divide each side by '-1'. z = 7 Simplifying z = 7
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