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Simplifying 2.1z + 20.6 = -8.2z Reorder the terms: 20.6 + 2.1z = -8.2z Solving 20.6 + 2.1z = -8.2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8.2z' to each side of the equation. 20.6 + 2.1z + 8.2z = -8.2z + 8.2z Combine like terms: 2.1z + 8.2z = 10.3z 20.6 + 10.3z = -8.2z + 8.2z Combine like terms: -8.2z + 8.2z = 0.0 20.6 + 10.3z = 0.0 Add '-20.6' to each side of the equation. 20.6 + -20.6 + 10.3z = 0.0 + -20.6 Combine like terms: 20.6 + -20.6 = 0.0 0.0 + 10.3z = 0.0 + -20.6 10.3z = 0.0 + -20.6 Combine like terms: 0.0 + -20.6 = -20.6 10.3z = -20.6 Divide each side by '10.3'. z = -2 Simplifying z = -2
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