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Simplifying 8 + -1(4z + -1) = 2 + -5z Reorder the terms: 8 + -1(-1 + 4z) = 2 + -5z 8 + (-1 * -1 + 4z * -1) = 2 + -5z 8 + (1 + -4z) = 2 + -5z Combine like terms: 8 + 1 = 9 9 + -4z = 2 + -5z Solving 9 + -4z = 2 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 9 + -4z + 5z = 2 + -5z + 5z Combine like terms: -4z + 5z = 1z 9 + 1z = 2 + -5z + 5z Combine like terms: -5z + 5z = 0 9 + 1z = 2 + 0 9 + 1z = 2 Add '-9' to each side of the equation. 9 + -9 + 1z = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 2 + -9 1z = 2 + -9 Combine like terms: 2 + -9 = -7 1z = -7 Divide each side by '1'. z = -7 Simplifying z = -7
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