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Simplifying 6z + 5.7 + 2.1z + -1.8z + -5 = 0 Reorder the terms: 5.7 + -5 + 6z + 2.1z + -1.8z = 0 Combine like terms: 5.7 + -5 = 0.7 0.7 + 6z + 2.1z + -1.8z = 0 Combine like terms: 6z + 2.1z = 8.1z 0.7 + 8.1z + -1.8z = 0 Combine like terms: 8.1z + -1.8z = 6.3z 0.7 + 6.3z = 0 Solving 0.7 + 6.3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + 6.3z = 0 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 6.3z = 0 + -0.7 6.3z = 0 + -0.7 Combine like terms: 0 + -0.7 = -0.7 6.3z = -0.7 Divide each side by '6.3'. z = -0.1111111111 Simplifying z = -0.1111111111
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