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Simplifying 4z + 5 = 6z + 7 Reorder the terms: 5 + 4z = 6z + 7 Reorder the terms: 5 + 4z = 7 + 6z Solving 5 + 4z = 7 + 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. 5 + 4z + -6z = 7 + 6z + -6z Combine like terms: 4z + -6z = -2z 5 + -2z = 7 + 6z + -6z Combine like terms: 6z + -6z = 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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