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Simplifying 12 + -1(5 + -6z) + 4 = 42 12 + (5 * -1 + -6z * -1) + 4 = 42 12 + (-5 + 6z) + 4 = 42 Reorder the terms: 12 + -5 + 4 + 6z = 42 Combine like terms: 12 + -5 = 7 7 + 4 + 6z = 42 Combine like terms: 7 + 4 = 11 11 + 6z = 42 Solving 11 + 6z = 42 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 6z = 42 + -11 Combine like terms: 11 + -11 = 0 0 + 6z = 42 + -11 6z = 42 + -11 Combine like terms: 42 + -11 = 31 6z = 31 Divide each side by '6'. z = 5.166666667 Simplifying z = 5.166666667
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