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Simplifying 2 + -4z = 6z + -1 + -1z Reorder the terms: 2 + -4z = -1 + 6z + -1z Combine like terms: 6z + -1z = 5z 2 + -4z = -1 + 5z Solving 2 + -4z = -1 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 2 + -4z + -5z = -1 + 5z + -5z Combine like terms: -4z + -5z = -9z 2 + -9z = -1 + 5z + -5z Combine like terms: 5z + -5z = 0 2 + -9z = -1 + 0 2 + -9z = -1 Add '-2' to each side of the equation. 2 + -2 + -9z = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -9z = -1 + -2 -9z = -1 + -2 Combine like terms: -1 + -2 = -3 -9z = -3 Divide each side by '-9'. z = 0.3333333333 Simplifying z = 0.3333333333
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