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Simplifying 6 + -3(1 + -2z) = 1 6 + (1 * -3 + -2z * -3) = 1 6 + (-3 + 6z) = 1 Combine like terms: 6 + -3 = 3 3 + 6z = 1 Solving 3 + 6z = 1 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 6z = 1 + -3 Combine like terms: 3 + -3 = 0 0 + 6z = 1 + -3 6z = 1 + -3 Combine like terms: 1 + -3 = -2 6z = -2 Divide each side by '6'. z = -0.3333333333 Simplifying z = -0.3333333333
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