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Simplifying 6z + 8 + -3z = 20 + -3z Reorder the terms: 8 + 6z + -3z = 20 + -3z Combine like terms: 6z + -3z = 3z 8 + 3z = 20 + -3z Solving 8 + 3z = 20 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 8 + 3z + 3z = 20 + -3z + 3z Combine like terms: 3z + 3z = 6z 8 + 6z = 20 + -3z + 3z Combine like terms: -3z + 3z = 0 8 + 6z = 20 + 0 8 + 6z = 20 Add '-8' to each side of the equation. 8 + -8 + 6z = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 6z = 20 + -8 6z = 20 + -8 Combine like terms: 20 + -8 = 12 6z = 12 Divide each side by '6'. z = 2 Simplifying z = 2
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