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