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Simplifying -1[10z + -1(21z + 3)] = 3 + (10z + 4) Reorder the terms: -1[10z + -1(3 + 21z)] = 3 + (10z + 4) -1[10z + (3 * -1 + 21z * -1)] = 3 + (10z + 4) -1[10z + (-3 + -21z)] = 3 + (10z + 4) Reorder the terms: -1[-3 + 10z + -21z] = 3 + (10z + 4) Combine like terms: 10z + -21z = -11z -1[-3 + -11z] = 3 + (10z + 4) [-3 * -1 + -11z * -1] = 3 + (10z + 4) [3 + 11z] = 3 + (10z + 4) Reorder the terms: 3 + 11z = 3 + (4 + 10z) Remove parenthesis around (4 + 10z) 3 + 11z = 3 + 4 + 10z Combine like terms: 3 + 4 = 7 3 + 11z = 7 + 10z Solving 3 + 11z = 7 + 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. 3 + 11z + -10z = 7 + 10z + -10z Combine like terms: 11z + -10z = 1z 3 + 1z = 7 + 10z + -10z Combine like terms: 10z + -10z = 0 3 + 1z = 7 + 0 3 + 1z = 7 Add '-3' to each side of the equation. 3 + -3 + 1z = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = 7 + -3 1z = 7 + -3 Combine like terms: 7 + -3 = 4 1z = 4 Divide each side by '1'. z = 4 Simplifying z = 4
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