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Simplifying 8 + -1(2z + -9) = 1 + -3z Reorder the terms: 8 + -1(-9 + 2z) = 1 + -3z 8 + (-9 * -1 + 2z * -1) = 1 + -3z 8 + (9 + -2z) = 1 + -3z Combine like terms: 8 + 9 = 17 17 + -2z = 1 + -3z Solving 17 + -2z = 1 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 17 + -2z + 3z = 1 + -3z + 3z Combine like terms: -2z + 3z = 1z 17 + 1z = 1 + -3z + 3z Combine like terms: -3z + 3z = 0 17 + 1z = 1 + 0 17 + 1z = 1 Add '-17' to each side of the equation. 17 + -17 + 1z = 1 + -17 Combine like terms: 17 + -17 = 0 0 + 1z = 1 + -17 1z = 1 + -17 Combine like terms: 1 + -17 = -16 1z = -16 Divide each side by '1'. z = -16 Simplifying z = -16
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