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