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Simplifying 9 + -1(3z + -8) = 7 + -4z Reorder the terms: 9 + -1(-8 + 3z) = 7 + -4z 9 + (-8 * -1 + 3z * -1) = 7 + -4z 9 + (8 + -3z) = 7 + -4z Combine like terms: 9 + 8 = 17 17 + -3z = 7 + -4z Solving 17 + -3z = 7 + -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 = 7 + -4z + 4z Combine like terms: -3z + 4z = 1z 17 + 1z = 7 + -4z + 4z Combine like terms: -4z + 4z = 0 17 + 1z = 7 + 0 17 + 1z = 7 Add '-17' to each side of the equation. 17 + -17 + 1z = 7 + -17 Combine like terms: 17 + -17 = 0 0 + 1z = 7 + -17 1z = 7 + -17 Combine like terms: 7 + -17 = -10 1z = -10 Divide each side by '1'. z = -10 Simplifying z = -10
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