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Simplifying 7.2 + 5(f + -8.1) = 0.6f + 15.18 Reorder the terms: 7.2 + 5(-8.1 + f) = 0.6f + 15.18 7.2 + (-8.1 * 5 + f * 5) = 0.6f + 15.18 7.2 + (-40.5 + 5f) = 0.6f + 15.18 Combine like terms: 7.2 + -40.5 = -33.3 -33.3 + 5f = 0.6f + 15.18 Reorder the terms: -33.3 + 5f = 15.18 + 0.6f Solving -33.3 + 5f = 15.18 + 0.6f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-0.6f' to each side of the equation. -33.3 + 5f + -0.6f = 15.18 + 0.6f + -0.6f Combine like terms: 5f + -0.6f = 4.4f -33.3 + 4.4f = 15.18 + 0.6f + -0.6f Combine like terms: 0.6f + -0.6f = 0.0 -33.3 + 4.4f = 15.18 + 0.0 -33.3 + 4.4f = 15.18 Add '33.3' to each side of the equation. -33.3 + 33.3 + 4.4f = 15.18 + 33.3 Combine like terms: -33.3 + 33.3 = 0.0 0.0 + 4.4f = 15.18 + 33.3 4.4f = 15.18 + 33.3 Combine like terms: 15.18 + 33.3 = 48.48 4.4f = 48.48 Divide each side by '4.4'. f = 11.01818182 Simplifying f = 11.01818182
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