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Simplifying -1(6z + -1(17z + 9)) = 9 + (10z + 10) Reorder the terms: -1(6z + -1(9 + 17z)) = 9 + (10z + 10) -1(6z + (9 * -1 + 17z * -1)) = 9 + (10z + 10) -1(6z + (-9 + -17z)) = 9 + (10z + 10) Reorder the terms: -1(-9 + 6z + -17z) = 9 + (10z + 10) Combine like terms: 6z + -17z = -11z -1(-9 + -11z) = 9 + (10z + 10) (-9 * -1 + -11z * -1) = 9 + (10z + 10) (9 + 11z) = 9 + (10z + 10) Reorder the terms: 9 + 11z = 9 + (10 + 10z) Remove parenthesis around (10 + 10z) 9 + 11z = 9 + 10 + 10z Combine like terms: 9 + 10 = 19 9 + 11z = 19 + 10z Solving 9 + 11z = 19 + 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. 9 + 11z + -10z = 19 + 10z + -10z Combine like terms: 11z + -10z = 1z 9 + 1z = 19 + 10z + -10z Combine like terms: 10z + -10z = 0 9 + 1z = 19 + 0 9 + 1z = 19 Add '-9' to each side of the equation. 9 + -9 + 1z = 19 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 19 + -9 1z = 19 + -9 Combine like terms: 19 + -9 = 10 1z = 10 Divide each side by '1'. z = 10 Simplifying z = 10
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