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Simplifying 6z + 7z = 6z + -6 + -4z Combine like terms: 6z + 7z = 13z 13z = 6z + -6 + -4z Reorder the terms: 13z = -6 + 6z + -4z Combine like terms: 6z + -4z = 2z 13z = -6 + 2z Solving 13z = -6 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 13z + -2z = -6 + 2z + -2z Combine like terms: 13z + -2z = 11z 11z = -6 + 2z + -2z Combine like terms: 2z + -2z = 0 11z = -6 + 0 11z = -6 Divide each side by '11'. z = -0.5454545455 Simplifying z = -0.5454545455
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