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