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Simplifying 9 + -1(3z + -9) = 4 + -4z Reorder the terms: 9 + -1(-9 + 3z) = 4 + -4z 9 + (-9 * -1 + 3z * -1) = 4 + -4z 9 + (9 + -3z) = 4 + -4z Combine like terms: 9 + 9 = 18 18 + -3z = 4 + -4z Solving 18 + -3z = 4 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 18 + -3z + 4z = 4 + -4z + 4z Combine like terms: -3z + 4z = 1z 18 + 1z = 4 + -4z + 4z Combine like terms: -4z + 4z = 0 18 + 1z = 4 + 0 18 + 1z = 4 Add '-18' to each side of the equation. 18 + -18 + 1z = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 1z = 4 + -18 1z = 4 + -18 Combine like terms: 4 + -18 = -14 1z = -14 Divide each side by '1'. z = -14 Simplifying z = -14
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