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