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Simplifying 8 + -1(3z + -9) = 4 + -4z Reorder the terms: 8 + -1(-9 + 3z) = 4 + -4z 8 + (-9 * -1 + 3z * -1) = 4 + -4z 8 + (9 + -3z) = 4 + -4z Combine like terms: 8 + 9 = 17 17 + -3z = 4 + -4z Solving 17 + -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. 17 + -3z + 4z = 4 + -4z + 4z Combine like terms: -3z + 4z = 1z 17 + 1z = 4 + -4z + 4z Combine like terms: -4z + 4z = 0 17 + 1z = 4 + 0 17 + 1z = 4 Add '-17' to each side of the equation. 17 + -17 + 1z = 4 + -17 Combine like terms: 17 + -17 = 0 0 + 1z = 4 + -17 1z = 4 + -17 Combine like terms: 4 + -17 = -13 1z = -13 Divide each side by '1'. z = -13 Simplifying z = -13
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