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Simplifying 3z + -1(1 + -2z) = 9 3z + (1 * -1 + -2z * -1) = 9 3z + (-1 + 2z) = 9 Reorder the terms: -1 + 3z + 2z = 9 Combine like terms: 3z + 2z = 5z -1 + 5z = 9 Solving -1 + 5z = 9 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5z = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 5z = 9 + 1 5z = 9 + 1 Combine like terms: 9 + 1 = 10 5z = 10 Divide each side by '5'. z = 2 Simplifying z = 2
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