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Simplifying 7.2F + 5(F + -8.1) = 0.6F + 15.18 Reorder the terms: 7.2F + 5(-8.1 + F) = 0.6F + 15.18 7.2F + (-8.1 * 5 + F * 5) = 0.6F + 15.18 7.2F + (-40.5 + 5F) = 0.6F + 15.18 Reorder the terms: -40.5 + 7.2F + 5F = 0.6F + 15.18 Combine like terms: 7.2F + 5F = 12.2F -40.5 + 12.2F = 0.6F + 15.18 Reorder the terms: -40.5 + 12.2F = 15.18 + 0.6F Solving -40.5 + 12.2F = 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. -40.5 + 12.2F + -0.6F = 15.18 + 0.6F + -0.6F Combine like terms: 12.2F + -0.6F = 11.6F -40.5 + 11.6F = 15.18 + 0.6F + -0.6F Combine like terms: 0.6F + -0.6F = 0.0 -40.5 + 11.6F = 15.18 + 0.0 -40.5 + 11.6F = 15.18 Add '40.5' to each side of the equation. -40.5 + 40.5 + 11.6F = 15.18 + 40.5 Combine like terms: -40.5 + 40.5 = 0.0 0.0 + 11.6F = 15.18 + 40.5 11.6F = 15.18 + 40.5 Combine like terms: 15.18 + 40.5 = 55.68 11.6F = 55.68 Divide each side by '11.6'. F = 4.8 Simplifying F = 4.8
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