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Simplifying -1[5z + -1(8z + 5)] = 5 + (2z + 6) Reorder the terms: -1[5z + -1(5 + 8z)] = 5 + (2z + 6) -1[5z + (5 * -1 + 8z * -1)] = 5 + (2z + 6) -1[5z + (-5 + -8z)] = 5 + (2z + 6) Reorder the terms: -1[-5 + 5z + -8z] = 5 + (2z + 6) Combine like terms: 5z + -8z = -3z -1[-5 + -3z] = 5 + (2z + 6) [-5 * -1 + -3z * -1] = 5 + (2z + 6) [5 + 3z] = 5 + (2z + 6) Reorder the terms: 5 + 3z = 5 + (6 + 2z) Remove parenthesis around (6 + 2z) 5 + 3z = 5 + 6 + 2z Combine like terms: 5 + 6 = 11 5 + 3z = 11 + 2z Solving 5 + 3z = 11 + 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 + 3z + -2z = 11 + 2z + -2z Combine like terms: 3z + -2z = 1z 5 + 1z = 11 + 2z + -2z Combine like terms: 2z + -2z = 0 5 + 1z = 11 + 0 5 + 1z = 11 Add '-5' to each side of the equation. 5 + -5 + 1z = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 1z = 11 + -5 1z = 11 + -5 Combine like terms: 11 + -5 = 6 1z = 6 Divide each side by '1'. z = 6 Simplifying z = 6
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