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Simplifying 4z + -2[-1(z + 3)] = 20 + -1[-1(3z + -8)] Reorder the terms: 4z + -2[-1(3 + z)] = 20 + -1[-1(3z + -8)] 4z + -2[(3 * -1 + z * -1)] = 20 + -1[-1(3z + -8)] 4z + -2[(-3 + -1z)] = 20 + -1[-1(3z + -8)] 4z + [-3 * -2 + -1z * -2] = 20 + -1[-1(3z + -8)] 4z + [6 + 2z] = 20 + -1[-1(3z + -8)] Reorder the terms: 6 + 4z + 2z = 20 + -1[-1(3z + -8)] Combine like terms: 4z + 2z = 6z 6 + 6z = 20 + -1[-1(3z + -8)] Reorder the terms: 6 + 6z = 20 + -1[-1(-8 + 3z)] 6 + 6z = 20 + -1[(-8 * -1 + 3z * -1)] 6 + 6z = 20 + -1[(8 + -3z)] 6 + 6z = 20 + [8 * -1 + -3z * -1] 6 + 6z = 20 + [-8 + 3z] Combine like terms: 20 + -8 = 12 6 + 6z = 12 + 3z Solving 6 + 6z = 12 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 6 + 6z + -3z = 12 + 3z + -3z Combine like terms: 6z + -3z = 3z 6 + 3z = 12 + 3z + -3z Combine like terms: 3z + -3z = 0 6 + 3z = 12 + 0 6 + 3z = 12 Add '-6' to each side of the equation. 6 + -6 + 3z = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 3z = 12 + -6 3z = 12 + -6 Combine like terms: 12 + -6 = 6 3z = 6 Divide each side by '3'. z = 2 Simplifying z = 2
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