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