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Simplifying 4 + -1[5z + -1(4 + -5z)] = 0 4 + -1[5z + (4 * -1 + -5z * -1)] = 0 4 + -1[5z + (-4 + 5z)] = 0 Reorder the terms: 4 + -1[-4 + 5z + 5z] = 0 Combine like terms: 5z + 5z = 10z 4 + -1[-4 + 10z] = 0 4 + [-4 * -1 + 10z * -1] = 0 4 + [4 + -10z] = 0 Combine like terms: 4 + 4 = 8 8 + -10z = 0 Solving 8 + -10z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -10z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -10z = 0 + -8 -10z = 0 + -8 Combine like terms: 0 + -8 = -8 -10z = -8 Divide each side by '-10'. z = 0.8 Simplifying z = 0.8
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