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Simplifying -1[8z + -1(12z + 5)] = 5(3z + 0) Reorder the terms: -1[8z + -1(5 + 12z)] = 5(3z + 0) -1[8z + (5 * -1 + 12z * -1)] = 5(3z + 0) -1[8z + (-5 + -12z)] = 5(3z + 0) Reorder the terms: -1[-5 + 8z + -12z] = 5(3z + 0) Combine like terms: 8z + -12z = -4z -1[-5 + -4z] = 5(3z + 0) [-5 * -1 + -4z * -1] = 5(3z + 0) [5 + 4z] = 5(3z + 0) Reorder the terms: 5 + 4z = 5(0 + 3z) Remove the zero: 5 + 4z = 5(3z) Remove parenthesis around (3z) 5 + 4z = 5 * 3z Multiply 5 * 3 5 + 4z = 15z Solving 5 + 4z = 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. 5 + 4z + -15z = 15z + -15z Combine like terms: 4z + -15z = -11z 5 + -11z = 15z + -15z Combine like terms: 15z + -15z = 0 5 + -11z = 0 Add '-5' to each side of the equation. 5 + -5 + -11z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -11z = 0 + -5 -11z = 0 + -5 Combine like terms: 0 + -5 = -5 -11z = -5 Divide each side by '-11'. z = 0.4545454545 Simplifying z = 0.4545454545
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