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Simplifying -1(3z + -1(13z + 1)) = 1 + (9z + 4) Reorder the terms: -1(3z + -1(1 + 13z)) = 1 + (9z + 4) -1(3z + (1 * -1 + 13z * -1)) = 1 + (9z + 4) -1(3z + (-1 + -13z)) = 1 + (9z + 4) Reorder the terms: -1(-1 + 3z + -13z) = 1 + (9z + 4) Combine like terms: 3z + -13z = -10z -1(-1 + -10z) = 1 + (9z + 4) (-1 * -1 + -10z * -1) = 1 + (9z + 4) (1 + 10z) = 1 + (9z + 4) Reorder the terms: 1 + 10z = 1 + (4 + 9z) Remove parenthesis around (4 + 9z) 1 + 10z = 1 + 4 + 9z Combine like terms: 1 + 4 = 5 1 + 10z = 5 + 9z Solving 1 + 10z = 5 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 1 + 10z + -9z = 5 + 9z + -9z Combine like terms: 10z + -9z = 1z 1 + 1z = 5 + 9z + -9z Combine like terms: 9z + -9z = 0 1 + 1z = 5 + 0 1 + 1z = 5 Add '-1' to each side of the equation. 1 + -1 + 1z = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = 5 + -1 1z = 5 + -1 Combine like terms: 5 + -1 = 4 1z = 4 Divide each side by '1'. z = 4 Simplifying z = 4
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