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Simplifying -1[5z + -1(11z + 4)] = 4 + (5z + 3) Reorder the terms: -1[5z + -1(4 + 11z)] = 4 + (5z + 3) -1[5z + (4 * -1 + 11z * -1)] = 4 + (5z + 3) -1[5z + (-4 + -11z)] = 4 + (5z + 3) Reorder the terms: -1[-4 + 5z + -11z] = 4 + (5z + 3) Combine like terms: 5z + -11z = -6z -1[-4 + -6z] = 4 + (5z + 3) [-4 * -1 + -6z * -1] = 4 + (5z + 3) [4 + 6z] = 4 + (5z + 3) Reorder the terms: 4 + 6z = 4 + (3 + 5z) Remove parenthesis around (3 + 5z) 4 + 6z = 4 + 3 + 5z Combine like terms: 4 + 3 = 7 4 + 6z = 7 + 5z Solving 4 + 6z = 7 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 4 + 6z + -5z = 7 + 5z + -5z Combine like terms: 6z + -5z = 1z 4 + 1z = 7 + 5z + -5z Combine like terms: 5z + -5z = 0 4 + 1z = 7 + 0 4 + 1z = 7 Add '-4' to each side of the equation. 4 + -4 + 1z = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = 7 + -4 1z = 7 + -4 Combine like terms: 7 + -4 = 3 1z = 3 Divide each side by '1'. z = 3 Simplifying z = 3
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