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Simplifying 12z + 5 = 13z + -1 Reorder the terms: 5 + 12z = 13z + -1 Reorder the terms: 5 + 12z = -1 + 13z Solving 5 + 12z = -1 + 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. 5 + 12z + -13z = -1 + 13z + -13z Combine like terms: 12z + -13z = -1z 5 + -1z = -1 + 13z + -13z Combine like terms: 13z + -13z = 0 5 + -1z = -1 + 0 5 + -1z = -1 Add '-5' to each side of the equation. 5 + -5 + -1z = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -1z = -1 + -5 -1z = -1 + -5 Combine like terms: -1 + -5 = -6 -1z = -6 Divide each side by '-1'. z = 6 Simplifying z = 6
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