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Simplifying 2.7(z + 6) + 4.6z = 0 Reorder the terms: 2.7(6 + z) + 4.6z = 0 (6 * 2.7 + z * 2.7) + 4.6z = 0 (16.2 + 2.7z) + 4.6z = 0 Combine like terms: 2.7z + 4.6z = 7.3z 16.2 + 7.3z = 0 Solving 16.2 + 7.3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16.2' to each side of the equation. 16.2 + -16.2 + 7.3z = 0 + -16.2 Combine like terms: 16.2 + -16.2 = 0.0 0.0 + 7.3z = 0 + -16.2 7.3z = 0 + -16.2 Combine like terms: 0 + -16.2 = -16.2 7.3z = -16.2 Divide each side by '7.3'. z = -2.219178082 Simplifying z = -2.219178082
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