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Simplifying -1(5z + -1(16z + 8)) = (10z + 9) Reorder the terms: -1(5z + -1(8 + 16z)) = (10z + 9) -1(5z + (8 * -1 + 16z * -1)) = (10z + 9) -1(5z + (-8 + -16z)) = (10z + 9) Reorder the terms: -1(-8 + 5z + -16z) = (10z + 9) Combine like terms: 5z + -16z = -11z -1(-8 + -11z) = (10z + 9) (-8 * -1 + -11z * -1) = (10z + 9) (8 + 11z) = (10z + 9) Reorder the terms: 8 + 11z = (9 + 10z) Remove parenthesis around (9 + 10z) 8 + 11z = 9 + 10z Solving 8 + 11z = 9 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 8 + 11z + -10z = 9 + 10z + -10z Combine like terms: 11z + -10z = 1z 8 + 1z = 9 + 10z + -10z Combine like terms: 10z + -10z = 0 8 + 1z = 9 + 0 8 + 1z = 9 Add '-8' to each side of the equation. 8 + -8 + 1z = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 9 + -8 1z = 9 + -8 Combine like terms: 9 + -8 = 1 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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