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Simplifying -1[7z + -1(18z + 10)] = 10 + (10z + 1) Reorder the terms: -1[7z + -1(10 + 18z)] = 10 + (10z + 1) -1[7z + (10 * -1 + 18z * -1)] = 10 + (10z + 1) -1[7z + (-10 + -18z)] = 10 + (10z + 1) Reorder the terms: -1[-10 + 7z + -18z] = 10 + (10z + 1) Combine like terms: 7z + -18z = -11z -1[-10 + -11z] = 10 + (10z + 1) [-10 * -1 + -11z * -1] = 10 + (10z + 1) [10 + 11z] = 10 + (10z + 1) Reorder the terms: 10 + 11z = 10 + (1 + 10z) Remove parenthesis around (1 + 10z) 10 + 11z = 10 + 1 + 10z Combine like terms: 10 + 1 = 11 10 + 11z = 11 + 10z Solving 10 + 11z = 11 + 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. 10 + 11z + -10z = 11 + 10z + -10z Combine like terms: 11z + -10z = 1z 10 + 1z = 11 + 10z + -10z Combine like terms: 10z + -10z = 0 10 + 1z = 11 + 0 10 + 1z = 11 Add '-10' to each side of the equation. 10 + -10 + 1z = 11 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 11 + -10 1z = 11 + -10 Combine like terms: 11 + -10 = 1 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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