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Simplifying 8z + 4 + -6 = 32 + -6z Reorder the terms: 4 + -6 + 8z = 32 + -6z Combine like terms: 4 + -6 = -2 -2 + 8z = 32 + -6z Solving -2 + 8z = 32 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -2 + 8z + 6z = 32 + -6z + 6z Combine like terms: 8z + 6z = 14z -2 + 14z = 32 + -6z + 6z Combine like terms: -6z + 6z = 0 -2 + 14z = 32 + 0 -2 + 14z = 32 Add '2' to each side of the equation. -2 + 2 + 14z = 32 + 2 Combine like terms: -2 + 2 = 0 0 + 14z = 32 + 2 14z = 32 + 2 Combine like terms: 32 + 2 = 34 14z = 34 Divide each side by '14'. z = 2.428571429 Simplifying z = 2.428571429
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