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Simplifying 13z + 12 = 6 + 14z Reorder the terms: 12 + 13z = 6 + 14z Solving 12 + 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. 12 + 13z + -14z = 6 + 14z + -14z Combine like terms: 13z + -14z = -1z 12 + -1z = 6 + 14z + -14z Combine like terms: 14z + -14z = 0 12 + -1z = 6 + 0 12 + -1z = 6 Add '-12' to each side of the equation. 12 + -12 + -1z = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -1z = 6 + -12 -1z = 6 + -12 Combine like terms: 6 + -12 = -6 -1z = -6 Divide each side by '-1'. z = 6 Simplifying z = 6
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