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Simplifying 6z + 9 + -7 = 4z + 12 Reorder the terms: 9 + -7 + 6z = 4z + 12 Combine like terms: 9 + -7 = 2 2 + 6z = 4z + 12 Reorder the terms: 2 + 6z = 12 + 4z Solving 2 + 6z = 12 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 2 + 6z + -4z = 12 + 4z + -4z Combine like terms: 6z + -4z = 2z 2 + 2z = 12 + 4z + -4z Combine like terms: 4z + -4z = 0 2 + 2z = 12 + 0 2 + 2z = 12 Add '-2' to each side of the equation. 2 + -2 + 2z = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2z = 12 + -2 2z = 12 + -2 Combine like terms: 12 + -2 = 10 2z = 10 Divide each side by '2'. z = 5 Simplifying z = 5
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