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Simplifying -1[z + -1(13z + 5)] = 5 + (2z + 2) Reorder the terms: -1[z + -1(5 + 13z)] = 5 + (2z + 2) -1[z + (5 * -1 + 13z * -1)] = 5 + (2z + 2) -1[z + (-5 + -13z)] = 5 + (2z + 2) Reorder the terms: -1[-5 + z + -13z] = 5 + (2z + 2) Combine like terms: z + -13z = -12z -1[-5 + -12z] = 5 + (2z + 2) [-5 * -1 + -12z * -1] = 5 + (2z + 2) [5 + 12z] = 5 + (2z + 2) Reorder the terms: 5 + 12z = 5 + (2 + 2z) Remove parenthesis around (2 + 2z) 5 + 12z = 5 + 2 + 2z Combine like terms: 5 + 2 = 7 5 + 12z = 7 + 2z Solving 5 + 12z = 7 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 5 + 12z + -2z = 7 + 2z + -2z Combine like terms: 12z + -2z = 10z 5 + 10z = 7 + 2z + -2z Combine like terms: 2z + -2z = 0 5 + 10z = 7 + 0 5 + 10z = 7 Add '-5' to each side of the equation. 5 + -5 + 10z = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 10z = 7 + -5 10z = 7 + -5 Combine like terms: 7 + -5 = 2 10z = 2 Divide each side by '10'. z = 0.2 Simplifying z = 0.2
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