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Simplifying 2.6(f + -1.7) + 19.2 = 14.2 Reorder the terms: 2.6(-1.7 + f) + 19.2 = 14.2 (-1.7 * 2.6 + f * 2.6) + 19.2 = 14.2 (-4.42 + 2.6f) + 19.2 = 14.2 Reorder the terms: -4.42 + 19.2 + 2.6f = 14.2 Combine like terms: -4.42 + 19.2 = 14.78 14.78 + 2.6f = 14.2 Solving 14.78 + 2.6f = 14.2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-14.78' to each side of the equation. 14.78 + -14.78 + 2.6f = 14.2 + -14.78 Combine like terms: 14.78 + -14.78 = 0.00 0.00 + 2.6f = 14.2 + -14.78 2.6f = 14.2 + -14.78 Combine like terms: 14.2 + -14.78 = -0.58 2.6f = -0.58 Divide each side by '2.6'. f = -0.2230769231 Simplifying f = -0.2230769231
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