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Simplifying 5 = 13z + -1(z + -1) Reorder the terms: 5 = 13z + -1(-1 + z) 5 = 13z + (-1 * -1 + z * -1) 5 = 13z + (1 + -1z) Reorder the terms: 5 = 1 + 13z + -1z Combine like terms: 13z + -1z = 12z 5 = 1 + 12z Solving 5 = 1 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 5 + -12z = 1 + 12z + -12z Combine like terms: 12z + -12z = 0 5 + -12z = 1 + 0 5 + -12z = 1 Add '-5' to each side of the equation. 5 + -5 + -12z = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -12z = 1 + -5 -12z = 1 + -5 Combine like terms: 1 + -5 = -4 -12z = -4 Divide each side by '-12'. z = 0.3333333333 Simplifying z = 0.3333333333
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