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Simplifying -1[10z + -1(21z + 7)] = 7 + (10z + 5) Reorder the terms: -1[10z + -1(7 + 21z)] = 7 + (10z + 5) -1[10z + (7 * -1 + 21z * -1)] = 7 + (10z + 5) -1[10z + (-7 + -21z)] = 7 + (10z + 5) Reorder the terms: -1[-7 + 10z + -21z] = 7 + (10z + 5) Combine like terms: 10z + -21z = -11z -1[-7 + -11z] = 7 + (10z + 5) [-7 * -1 + -11z * -1] = 7 + (10z + 5) [7 + 11z] = 7 + (10z + 5) Reorder the terms: 7 + 11z = 7 + (5 + 10z) Remove parenthesis around (5 + 10z) 7 + 11z = 7 + 5 + 10z Combine like terms: 7 + 5 = 12 7 + 11z = 12 + 10z Solving 7 + 11z = 12 + 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. 7 + 11z + -10z = 12 + 10z + -10z Combine like terms: 11z + -10z = 1z 7 + 1z = 12 + 10z + -10z Combine like terms: 10z + -10z = 0 7 + 1z = 12 + 0 7 + 1z = 12 Add '-7' to each side of the equation. 7 + -7 + 1z = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = 12 + -7 1z = 12 + -7 Combine like terms: 12 + -7 = 5 1z = 5 Divide each side by '1'. z = 5 Simplifying z = 5
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