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Simplifying 4.1f + 9.22 = -12.10 + 2.9 + 8.15 Reorder the terms: 9.22 + 4.1f = -12.10 + 2.9 + 8.15 Combine like terms: -12.10 + 2.9 = -9.2 9.22 + 4.1f = -9.2 + 8.15 Combine like terms: -9.2 + 8.15 = -1.05 9.22 + 4.1f = -1.05 Solving 9.22 + 4.1f = -1.05 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-9.22' to each side of the equation. 9.22 + -9.22 + 4.1f = -1.05 + -9.22 Combine like terms: 9.22 + -9.22 = 0.00 0.00 + 4.1f = -1.05 + -9.22 4.1f = -1.05 + -9.22 Combine like terms: -1.05 + -9.22 = -10.27 4.1f = -10.27 Divide each side by '4.1'. f = -2.504878049 Simplifying f = -2.504878049
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