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