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Simplifying 6z + 8 + -42 = 50 + -4z Reorder the terms: 8 + -42 + 6z = 50 + -4z Combine like terms: 8 + -42 = -34 -34 + 6z = 50 + -4z Solving -34 + 6z = 50 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -34 + 6z + 4z = 50 + -4z + 4z Combine like terms: 6z + 4z = 10z -34 + 10z = 50 + -4z + 4z Combine like terms: -4z + 4z = 0 -34 + 10z = 50 + 0 -34 + 10z = 50 Add '34' to each side of the equation. -34 + 34 + 10z = 50 + 34 Combine like terms: -34 + 34 = 0 0 + 10z = 50 + 34 10z = 50 + 34 Combine like terms: 50 + 34 = 84 10z = 84 Divide each side by '10'. z = 8.4 Simplifying z = 8.4
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