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Simplifying 5z + -4z = 6z + -1 + -2z Combine like terms: 5z + -4z = 1z 1z = 6z + -1 + -2z Reorder the terms: 1z = -1 + 6z + -2z Combine like terms: 6z + -2z = 4z 1z = -1 + 4z Solving 1z = -1 + 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. 1z + -4z = -1 + 4z + -4z Combine like terms: 1z + -4z = -3z -3z = -1 + 4z + -4z Combine like terms: 4z + -4z = 0 -3z = -1 + 0 -3z = -1 Divide each side by '-3'. z = 0.3333333333 Simplifying z = 0.3333333333
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