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Simplifying 8 + -3[4z + -2(z + 3)] = 0 Reorder the terms: 8 + -3[4z + -2(3 + z)] = 0 8 + -3[4z + (3 * -2 + z * -2)] = 0 8 + -3[4z + (-6 + -2z)] = 0 Reorder the terms: 8 + -3[-6 + 4z + -2z] = 0 Combine like terms: 4z + -2z = 2z 8 + -3[-6 + 2z] = 0 8 + [-6 * -3 + 2z * -3] = 0 8 + [18 + -6z] = 0 Combine like terms: 8 + 18 = 26 26 + -6z = 0 Solving 26 + -6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -6z = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -6z = 0 + -26 -6z = 0 + -26 Combine like terms: 0 + -26 = -26 -6z = -26 Divide each side by '-6'. z = 4.333333333 Simplifying z = 4.333333333
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