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Simplifying 6 + -7z = -12 + -9z Solving 6 + -7z = -12 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. 6 + -7z + 9z = -12 + -9z + 9z Combine like terms: -7z + 9z = 2z 6 + 2z = -12 + -9z + 9z Combine like terms: -9z + 9z = 0 6 + 2z = -12 + 0 6 + 2z = -12 Add '-6' to each side of the equation. 6 + -6 + 2z = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 2z = -12 + -6 2z = -12 + -6 Combine like terms: -12 + -6 = -18 2z = -18 Divide each side by '2'. z = -9 Simplifying z = -9
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