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Simplifying -1(3 + -2z) = -9 + -2z (3 * -1 + -2z * -1) = -9 + -2z (-3 + 2z) = -9 + -2z Solving -3 + 2z = -9 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -3 + 2z + 2z = -9 + -2z + 2z Combine like terms: 2z + 2z = 4z -3 + 4z = -9 + -2z + 2z Combine like terms: -2z + 2z = 0 -3 + 4z = -9 + 0 -3 + 4z = -9 Add '3' to each side of the equation. -3 + 3 + 4z = -9 + 3 Combine like terms: -3 + 3 = 0 0 + 4z = -9 + 3 4z = -9 + 3 Combine like terms: -9 + 3 = -6 4z = -6 Divide each side by '4'. z = -1.5 Simplifying z = -1.5
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