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Simplifying 6z + 5 + -2z = 53 + -2z Reorder the terms: 5 + 6z + -2z = 53 + -2z Combine like terms: 6z + -2z = 4z 5 + 4z = 53 + -2z Solving 5 + 4z = 53 + -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. 5 + 4z + 2z = 53 + -2z + 2z Combine like terms: 4z + 2z = 6z 5 + 6z = 53 + -2z + 2z Combine like terms: -2z + 2z = 0 5 + 6z = 53 + 0 5 + 6z = 53 Add '-5' to each side of the equation. 5 + -5 + 6z = 53 + -5 Combine like terms: 5 + -5 = 0 0 + 6z = 53 + -5 6z = 53 + -5 Combine like terms: 53 + -5 = 48 6z = 48 Divide each side by '6'. z = 8 Simplifying z = 8
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