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Simplifying 9 + -1(4z + -1) = 8 + -5z Reorder the terms: 9 + -1(-1 + 4z) = 8 + -5z 9 + (-1 * -1 + 4z * -1) = 8 + -5z 9 + (1 + -4z) = 8 + -5z Combine like terms: 9 + 1 = 10 10 + -4z = 8 + -5z Solving 10 + -4z = 8 + -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. 10 + -4z + 5z = 8 + -5z + 5z Combine like terms: -4z + 5z = 1z 10 + 1z = 8 + -5z + 5z Combine like terms: -5z + 5z = 0 10 + 1z = 8 + 0 10 + 1z = 8 Add '-10' to each side of the equation. 10 + -10 + 1z = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 8 + -10 1z = 8 + -10 Combine like terms: 8 + -10 = -2 1z = -2 Divide each side by '1'. z = -2 Simplifying z = -2
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