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Simplifying 8 + -1(3z + -1) = 1 + -4z Reorder the terms: 8 + -1(-1 + 3z) = 1 + -4z 8 + (-1 * -1 + 3z * -1) = 1 + -4z 8 + (1 + -3z) = 1 + -4z Combine like terms: 8 + 1 = 9 9 + -3z = 1 + -4z Solving 9 + -3z = 1 + -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. 9 + -3z + 4z = 1 + -4z + 4z Combine like terms: -3z + 4z = 1z 9 + 1z = 1 + -4z + 4z Combine like terms: -4z + 4z = 0 9 + 1z = 1 + 0 9 + 1z = 1 Add '-9' to each side of the equation. 9 + -9 + 1z = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 1 + -9 1z = 1 + -9 Combine like terms: 1 + -9 = -8 1z = -8 Divide each side by '1'. z = -8 Simplifying z = -8
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