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Simplifying 7z + 3 + -3z = 6 + 3z + 1 Reorder the terms: 3 + 7z + -3z = 6 + 3z + 1 Combine like terms: 7z + -3z = 4z 3 + 4z = 6 + 3z + 1 Reorder the terms: 3 + 4z = 6 + 1 + 3z Combine like terms: 6 + 1 = 7 3 + 4z = 7 + 3z Solving 3 + 4z = 7 + 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. 3 + 4z + -3z = 7 + 3z + -3z Combine like terms: 4z + -3z = 1z 3 + 1z = 7 + 3z + -3z Combine like terms: 3z + -3z = 0 3 + 1z = 7 + 0 3 + 1z = 7 Add '-3' to each side of the equation. 3 + -3 + 1z = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = 7 + -3 1z = 7 + -3 Combine like terms: 7 + -3 = 4 1z = 4 Divide each side by '1'. z = 4 Simplifying z = 4
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