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Simplifying -1[6z + -1(17z + 4)] = 4 + (10z + 1) Reorder the terms: -1[6z + -1(4 + 17z)] = 4 + (10z + 1) -1[6z + (4 * -1 + 17z * -1)] = 4 + (10z + 1) -1[6z + (-4 + -17z)] = 4 + (10z + 1) Reorder the terms: -1[-4 + 6z + -17z] = 4 + (10z + 1) Combine like terms: 6z + -17z = -11z -1[-4 + -11z] = 4 + (10z + 1) [-4 * -1 + -11z * -1] = 4 + (10z + 1) [4 + 11z] = 4 + (10z + 1) Reorder the terms: 4 + 11z = 4 + (1 + 10z) Remove parenthesis around (1 + 10z) 4 + 11z = 4 + 1 + 10z Combine like terms: 4 + 1 = 5 4 + 11z = 5 + 10z Solving 4 + 11z = 5 + 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. 4 + 11z + -10z = 5 + 10z + -10z Combine like terms: 11z + -10z = 1z 4 + 1z = 5 + 10z + -10z Combine like terms: 10z + -10z = 0 4 + 1z = 5 + 0 4 + 1z = 5 Add '-4' to each side of the equation. 4 + -4 + 1z = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = 5 + -4 1z = 5 + -4 Combine like terms: 5 + -4 = 1 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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