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Simplifying 6z + 5 = 4z + 7 Reorder the terms: 5 + 6z = 4z + 7 Reorder the terms: 5 + 6z = 7 + 4z Solving 5 + 6z = 7 + 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. 5 + 6z + -4z = 7 + 4z + -4z Combine like terms: 6z + -4z = 2z 5 + 2z = 7 + 4z + -4z Combine like terms: 4z + -4z = 0 5 + 2z = 7 + 0 5 + 2z = 7 Add '-5' to each side of the equation. 5 + -5 + 2z = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 2z = 7 + -5 2z = 7 + -5 Combine like terms: 7 + -5 = 2 2z = 2 Divide each side by '2'. z = 1 Simplifying z = 1
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