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Simplifying 12.2z + 19.4 = -2.6z + 93.9 Reorder the terms: 19.4 + 12.2z = -2.6z + 93.9 Reorder the terms: 19.4 + 12.2z = 93.9 + -2.6z Solving 19.4 + 12.2z = 93.9 + -2.6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2.6z' to each side of the equation. 19.4 + 12.2z + 2.6z = 93.9 + -2.6z + 2.6z Combine like terms: 12.2z + 2.6z = 14.8z 19.4 + 14.8z = 93.9 + -2.6z + 2.6z Combine like terms: -2.6z + 2.6z = 0.0 19.4 + 14.8z = 93.9 + 0.0 19.4 + 14.8z = 93.9 Add '-19.4' to each side of the equation. 19.4 + -19.4 + 14.8z = 93.9 + -19.4 Combine like terms: 19.4 + -19.4 = 0.0 0.0 + 14.8z = 93.9 + -19.4 14.8z = 93.9 + -19.4 Combine like terms: 93.9 + -19.4 = 74.5 14.8z = 74.5 Divide each side by '14.8'. z = 5.033783784 Simplifying z = 5.033783784
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