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Simplifying 7 + -4 + -6z + 4 = 42 Reorder the terms: 7 + -4 + 4 + -6z = 42 Combine like terms: 7 + -4 = 3 3 + 4 + -6z = 42 Combine like terms: 3 + 4 = 7 7 + -6z = 42 Solving 7 + -6z = 42 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6z = 42 + -7 Combine like terms: 7 + -7 = 0 0 + -6z = 42 + -7 -6z = 42 + -7 Combine like terms: 42 + -7 = 35 -6z = 35 Divide each side by '-6'. z = -5.833333333 Simplifying z = -5.833333333
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