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Simplifying 7 + 6z + -3 = 7z + 16 + -4z Reorder the terms: 7 + -3 + 6z = 7z + 16 + -4z Combine like terms: 7 + -3 = 4 4 + 6z = 7z + 16 + -4z Reorder the terms: 4 + 6z = 16 + 7z + -4z Combine like terms: 7z + -4z = 3z 4 + 6z = 16 + 3z Solving 4 + 6z = 16 + 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 + 6z + -3z = 16 + 3z + -3z Combine like terms: 6z + -3z = 3z 4 + 3z = 16 + 3z + -3z Combine like terms: 3z + -3z = 0 4 + 3z = 16 + 0 4 + 3z = 16 Add '-4' to each side of the equation. 4 + -4 + 3z = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 3z = 16 + -4 3z = 16 + -4 Combine like terms: 16 + -4 = 12 3z = 12 Divide each side by '3'. z = 4 Simplifying z = 4
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