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