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Simplifying 6 + -1(4z + -5) = 3 + 5z Reorder the terms: 6 + -1(-5 + 4z) = 3 + 5z 6 + (-5 * -1 + 4z * -1) = 3 + 5z 6 + (5 + -4z) = 3 + 5z Combine like terms: 6 + 5 = 11 11 + -4z = 3 + 5z Solving 11 + -4z = 3 + 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. 11 + -4z + -5z = 3 + 5z + -5z Combine like terms: -4z + -5z = -9z 11 + -9z = 3 + 5z + -5z Combine like terms: 5z + -5z = 0 11 + -9z = 3 + 0 11 + -9z = 3 Add '-11' to each side of the equation. 11 + -11 + -9z = 3 + -11 Combine like terms: 11 + -11 = 0 0 + -9z = 3 + -11 -9z = 3 + -11 Combine like terms: 3 + -11 = -8 -9z = -8 Divide each side by '-9'. z = 0.8888888889 Simplifying z = 0.8888888889
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