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Simplifying 10z + 3 + -4z + 2 = 0 Reorder the terms: 3 + 2 + 10z + -4z = 0 Combine like terms: 3 + 2 = 5 5 + 10z + -4z = 0 Combine like terms: 10z + -4z = 6z 5 + 6z = 0 Solving 5 + 6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6z = 0 + -5 6z = 0 + -5 Combine like terms: 0 + -5 = -5 6z = -5 Divide each side by '6'. z = -0.8333333333 Simplifying z = -0.8333333333
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