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Simplifying z + -6z + 5 = 4z + 2 Reorder the terms: 5 + z + -6z = 4z + 2 Combine like terms: z + -6z = -5z 5 + -5z = 4z + 2 Reorder the terms: 5 + -5z = 2 + 4z Solving 5 + -5z = 2 + 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. 5 + -5z + -4z = 2 + 4z + -4z Combine like terms: -5z + -4z = -9z 5 + -9z = 2 + 4z + -4z Combine like terms: 4z + -4z = 0 5 + -9z = 2 + 0 5 + -9z = 2 Add '-5' to each side of the equation. 5 + -5 + -9z = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -9z = 2 + -5 -9z = 2 + -5 Combine like terms: 2 + -5 = -3 -9z = -3 Divide each side by '-9'. z = 0.3333333333 Simplifying z = 0.3333333333
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