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Simplifying 4z + 1 = 7z + -5 Reorder the terms: 1 + 4z = 7z + -5 Reorder the terms: 1 + 4z = -5 + 7z Solving 1 + 4z = -5 + 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. 1 + 4z + -7z = -5 + 7z + -7z Combine like terms: 4z + -7z = -3z 1 + -3z = -5 + 7z + -7z Combine like terms: 7z + -7z = 0 1 + -3z = -5 + 0 1 + -3z = -5 Add '-1' to each side of the equation. 1 + -1 + -3z = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -3z = -5 + -1 -3z = -5 + -1 Combine like terms: -5 + -1 = -6 -3z = -6 Divide each side by '-3'. z = 2 Simplifying z = 2
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