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Simplifying 6z + 3.3 + -0.3z + 0.7z + -2 = 0 Reorder the terms: 3.3 + -2 + 6z + -0.3z + 0.7z = 0 Combine like terms: 3.3 + -2 = 1.3 1.3 + 6z + -0.3z + 0.7z = 0 Combine like terms: 6z + -0.3z = 5.7z 1.3 + 5.7z + 0.7z = 0 Combine like terms: 5.7z + 0.7z = 6.4z 1.3 + 6.4z = 0 Solving 1.3 + 6.4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.3' to each side of the equation. 1.3 + -1.3 + 6.4z = 0 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + 6.4z = 0 + -1.3 6.4z = 0 + -1.3 Combine like terms: 0 + -1.3 = -1.3 6.4z = -1.3 Divide each side by '6.4'. z = -0.203125 Simplifying z = -0.203125
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