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Simplifying 7z + 6 + -2z = 2 + 4z + 10 Reorder the terms: 6 + 7z + -2z = 2 + 4z + 10 Combine like terms: 7z + -2z = 5z 6 + 5z = 2 + 4z + 10 Reorder the terms: 6 + 5z = 2 + 10 + 4z Combine like terms: 2 + 10 = 12 6 + 5z = 12 + 4z Solving 6 + 5z = 12 + 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. 6 + 5z + -4z = 12 + 4z + -4z Combine like terms: 5z + -4z = 1z 6 + 1z = 12 + 4z + -4z Combine like terms: 4z + -4z = 0 6 + 1z = 12 + 0 6 + 1z = 12 Add '-6' to each side of the equation. 6 + -6 + 1z = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 1z = 12 + -6 1z = 12 + -6 Combine like terms: 12 + -6 = 6 1z = 6 Divide each side by '1'. z = 6 Simplifying z = 6
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