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Simplifying 9 + -1(2z + -1) = 8 + -3z Reorder the terms: 9 + -1(-1 + 2z) = 8 + -3z 9 + (-1 * -1 + 2z * -1) = 8 + -3z 9 + (1 + -2z) = 8 + -3z Combine like terms: 9 + 1 = 10 10 + -2z = 8 + -3z Solving 10 + -2z = 8 + -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. 10 + -2z + 3z = 8 + -3z + 3z Combine like terms: -2z + 3z = 1z 10 + 1z = 8 + -3z + 3z Combine like terms: -3z + 3z = 0 10 + 1z = 8 + 0 10 + 1z = 8 Add '-10' to each side of the equation. 10 + -10 + 1z = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 8 + -10 1z = 8 + -10 Combine like terms: 8 + -10 = -2 1z = -2 Divide each side by '1'. z = -2 Simplifying z = -2
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