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Simplifying -1[2z + -1(7z + 5)] = 5 + 4(4z + 10) Reorder the terms: -1[2z + -1(5 + 7z)] = 5 + 4(4z + 10) -1[2z + (5 * -1 + 7z * -1)] = 5 + 4(4z + 10) -1[2z + (-5 + -7z)] = 5 + 4(4z + 10) Reorder the terms: -1[-5 + 2z + -7z] = 5 + 4(4z + 10) Combine like terms: 2z + -7z = -5z -1[-5 + -5z] = 5 + 4(4z + 10) [-5 * -1 + -5z * -1] = 5 + 4(4z + 10) [5 + 5z] = 5 + 4(4z + 10) Reorder the terms: 5 + 5z = 5 + 4(10 + 4z) 5 + 5z = 5 + (10 * 4 + 4z * 4) 5 + 5z = 5 + (40 + 16z) Combine like terms: 5 + 40 = 45 5 + 5z = 45 + 16z Solving 5 + 5z = 45 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. 5 + 5z + -16z = 45 + 16z + -16z Combine like terms: 5z + -16z = -11z 5 + -11z = 45 + 16z + -16z Combine like terms: 16z + -16z = 0 5 + -11z = 45 + 0 5 + -11z = 45 Add '-5' to each side of the equation. 5 + -5 + -11z = 45 + -5 Combine like terms: 5 + -5 = 0 0 + -11z = 45 + -5 -11z = 45 + -5 Combine like terms: 45 + -5 = 40 -11z = 40 Divide each side by '-11'. z = -3.636363636 Simplifying z = -3.636363636
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