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Simplifying -9 + (4z + -2) = -1(5z + 5) Reorder the terms: -9 + (-2 + 4z) = -1(5z + 5) Remove parenthesis around (-2 + 4z) -9 + -2 + 4z = -1(5z + 5) Combine like terms: -9 + -2 = -11 -11 + 4z = -1(5z + 5) Reorder the terms: -11 + 4z = -1(5 + 5z) -11 + 4z = (5 * -1 + 5z * -1) -11 + 4z = (-5 + -5z) Solving -11 + 4z = -5 + -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 = -5 + -5z + 5z Combine like terms: 4z + 5z = 9z -11 + 9z = -5 + -5z + 5z Combine like terms: -5z + 5z = 0 -11 + 9z = -5 + 0 -11 + 9z = -5 Add '11' to each side of the equation. -11 + 11 + 9z = -5 + 11 Combine like terms: -11 + 11 = 0 0 + 9z = -5 + 11 9z = -5 + 11 Combine like terms: -5 + 11 = 6 9z = 6 Divide each side by '9'. z = 0.6666666667 Simplifying z = 0.6666666667
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