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Simplifying 9 + -1(-4z + -5) = 1 + -5z Reorder the terms: 9 + -1(-5 + -4z) = 1 + -5z 9 + (-5 * -1 + -4z * -1) = 1 + -5z 9 + (5 + 4z) = 1 + -5z Combine like terms: 9 + 5 = 14 14 + 4z = 1 + -5z Solving 14 + 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. 14 + 4z + 5z = 1 + -5z + 5z Combine like terms: 4z + 5z = 9z 14 + 9z = 1 + -5z + 5z Combine like terms: -5z + 5z = 0 14 + 9z = 1 + 0 14 + 9z = 1 Add '-14' to each side of the equation. 14 + -14 + 9z = 1 + -14 Combine like terms: 14 + -14 = 0 0 + 9z = 1 + -14 9z = 1 + -14 Combine like terms: 1 + -14 = -13 9z = -13 Divide each side by '9'. z = -1.444444444 Simplifying z = -1.444444444
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