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Simplifying -1[8z + -1(11z + 4)] = 4 + (2z + 10) Reorder the terms: -1[8z + -1(4 + 11z)] = 4 + (2z + 10) -1[8z + (4 * -1 + 11z * -1)] = 4 + (2z + 10) -1[8z + (-4 + -11z)] = 4 + (2z + 10) Reorder the terms: -1[-4 + 8z + -11z] = 4 + (2z + 10) Combine like terms: 8z + -11z = -3z -1[-4 + -3z] = 4 + (2z + 10) [-4 * -1 + -3z * -1] = 4 + (2z + 10) [4 + 3z] = 4 + (2z + 10) Reorder the terms: 4 + 3z = 4 + (10 + 2z) Remove parenthesis around (10 + 2z) 4 + 3z = 4 + 10 + 2z Combine like terms: 4 + 10 = 14 4 + 3z = 14 + 2z Solving 4 + 3z = 14 + 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. 4 + 3z + -2z = 14 + 2z + -2z Combine like terms: 3z + -2z = 1z 4 + 1z = 14 + 2z + -2z Combine like terms: 2z + -2z = 0 4 + 1z = 14 + 0 4 + 1z = 14 Add '-4' to each side of the equation. 4 + -4 + 1z = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = 14 + -4 1z = 14 + -4 Combine like terms: 14 + -4 = 10 1z = 10 Divide each side by '1'. z = 10 Simplifying z = 10
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