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Simplifying (8z + -1(13z + 5)) = 5 + (4z + 7) Reorder the terms: (8z + -1(5 + 13z)) = 5 + (4z + 7) (8z + (5 * -1 + 13z * -1)) = 5 + (4z + 7) (8z + (-5 + -13z)) = 5 + (4z + 7) Reorder the terms: (-5 + 8z + -13z) = 5 + (4z + 7) Combine like terms: 8z + -13z = -5z (-5 + -5z) = 5 + (4z + 7) Remove parenthesis around (-5 + -5z) -5 + -5z = 5 + (4z + 7) Reorder the terms: -5 + -5z = 5 + (7 + 4z) Remove parenthesis around (7 + 4z) -5 + -5z = 5 + 7 + 4z Combine like terms: 5 + 7 = 12 -5 + -5z = 12 + 4z Solving -5 + -5z = 12 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -5 + -5z + -4z = 12 + 4z + -4z Combine like terms: -5z + -4z = -9z -5 + -9z = 12 + 4z + -4z Combine like terms: 4z + -4z = 0 -5 + -9z = 12 + 0 -5 + -9z = 12 Add '5' to each side of the equation. -5 + 5 + -9z = 12 + 5 Combine like terms: -5 + 5 = 0 0 + -9z = 12 + 5 -9z = 12 + 5 Combine like terms: 12 + 5 = 17 -9z = 17 Divide each side by '-9'. z = -1.888888889 Simplifying z = -1.888888889
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