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Simplifying 7 + 7z + -1 = 7z + 30 + -4z Reorder the terms: 7 + -1 + 7z = 7z + 30 + -4z Combine like terms: 7 + -1 = 6 6 + 7z = 7z + 30 + -4z Reorder the terms: 6 + 7z = 30 + 7z + -4z Combine like terms: 7z + -4z = 3z 6 + 7z = 30 + 3z Solving 6 + 7z = 30 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 6 + 7z + -3z = 30 + 3z + -3z Combine like terms: 7z + -3z = 4z 6 + 4z = 30 + 3z + -3z Combine like terms: 3z + -3z = 0 6 + 4z = 30 + 0 6 + 4z = 30 Add '-6' to each side of the equation. 6 + -6 + 4z = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 4z = 30 + -6 4z = 30 + -6 Combine like terms: 30 + -6 = 24 4z = 24 Divide each side by '4'. z = 6 Simplifying z = 6
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