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Simplifying 3z + -5z = 6z + 1 + 3z Combine like terms: 3z + -5z = -2z -2z = 6z + 1 + 3z Reorder the terms: -2z = 1 + 6z + 3z Combine like terms: 6z + 3z = 9z -2z = 1 + 9z Solving -2z = 1 + 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. -2z + -9z = 1 + 9z + -9z Combine like terms: -2z + -9z = -11z -11z = 1 + 9z + -9z Combine like terms: 9z + -9z = 0 -11z = 1 + 0 -11z = 1 Divide each side by '-11'. z = -0.09090909091 Simplifying z = -0.09090909091
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