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Simplifying 4z + 5 = 7z + -1 Reorder the terms: 5 + 4z = 7z + -1 Reorder the terms: 5 + 4z = -1 + 7z Solving 5 + 4z = -1 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 5 + 4z + -7z = -1 + 7z + -7z Combine like terms: 4z + -7z = -3z 5 + -3z = -1 + 7z + -7z Combine like terms: 7z + -7z = 0 5 + -3z = -1 + 0 5 + -3z = -1 Add '-5' to each side of the equation. 5 + -5 + -3z = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -3z = -1 + -5 -3z = -1 + -5 Combine like terms: -1 + -5 = -6 -3z = -6 Divide each side by '-3'. z = 2 Simplifying z = 2
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