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Simplifying 6z + 2 + -2z = 9 + 3z + 7 Reorder the terms: 2 + 6z + -2z = 9 + 3z + 7 Combine like terms: 6z + -2z = 4z 2 + 4z = 9 + 3z + 7 Reorder the terms: 2 + 4z = 9 + 7 + 3z Combine like terms: 9 + 7 = 16 2 + 4z = 16 + 3z Solving 2 + 4z = 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. 2 + 4z + -3z = 16 + 3z + -3z Combine like terms: 4z + -3z = 1z 2 + 1z = 16 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + 1z = 16 + 0 2 + 1z = 16 Add '-2' to each side of the equation. 2 + -2 + 1z = 16 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 16 + -2 1z = 16 + -2 Combine like terms: 16 + -2 = 14 1z = 14 Divide each side by '1'. z = 14 Simplifying z = 14
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