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Simplifying 7z + -4 = 12 + 3z + 8 Reorder the terms: -4 + 7z = 12 + 3z + 8 Reorder the terms: -4 + 7z = 12 + 8 + 3z Combine like terms: 12 + 8 = 20 -4 + 7z = 20 + 3z Solving -4 + 7z = 20 + 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. -4 + 7z + -3z = 20 + 3z + -3z Combine like terms: 7z + -3z = 4z -4 + 4z = 20 + 3z + -3z Combine like terms: 3z + -3z = 0 -4 + 4z = 20 + 0 -4 + 4z = 20 Add '4' to each side of the equation. -4 + 4 + 4z = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 4z = 20 + 4 4z = 20 + 4 Combine like terms: 20 + 4 = 24 4z = 24 Divide each side by '4'. z = 6 Simplifying z = 6
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