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Simplifying 7z + -2 = 3z + 8 Reorder the terms: -2 + 7z = 3z + 8 Reorder the terms: -2 + 7z = 8 + 3z Solving -2 + 7z = 8 + 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. -2 + 7z + -3z = 8 + 3z + -3z Combine like terms: 7z + -3z = 4z -2 + 4z = 8 + 3z + -3z Combine like terms: 3z + -3z = 0 -2 + 4z = 8 + 0 -2 + 4z = 8 Add '2' to each side of the equation. -2 + 2 + 4z = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 4z = 8 + 2 4z = 8 + 2 Combine like terms: 8 + 2 = 10 4z = 10 Divide each side by '4'. z = 2.5 Simplifying z = 2.5
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