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Simplifying 6z + 8 + -2z = 44 + -2z Reorder the terms: 8 + 6z + -2z = 44 + -2z Combine like terms: 6z + -2z = 4z 8 + 4z = 44 + -2z Solving 8 + 4z = 44 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 8 + 4z + 2z = 44 + -2z + 2z Combine like terms: 4z + 2z = 6z 8 + 6z = 44 + -2z + 2z Combine like terms: -2z + 2z = 0 8 + 6z = 44 + 0 8 + 6z = 44 Add '-8' to each side of the equation. 8 + -8 + 6z = 44 + -8 Combine like terms: 8 + -8 = 0 0 + 6z = 44 + -8 6z = 44 + -8 Combine like terms: 44 + -8 = 36 6z = 36 Divide each side by '6'. z = 6 Simplifying z = 6
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