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Simplifying 3z + -1(4 + -1z) + -4 = 8 3z + (4 * -1 + -1z * -1) + -4 = 8 3z + (-4 + 1z) + -4 = 8 Reorder the terms: -4 + -4 + 3z + 1z = 8 Combine like terms: -4 + -4 = -8 -8 + 3z + 1z = 8 Combine like terms: 3z + 1z = 4z -8 + 4z = 8 Solving -8 + 4z = 8 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 + 4z = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 4z = 8 + 8 4z = 8 + 8 Combine like terms: 8 + 8 = 16 4z = 16 Divide each side by '4'. z = 4 Simplifying z = 4
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