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Simplifying 7.2F + 5(F + -8) = 0.06F + 15.18 Reorder the terms: 7.2F + 5(-8 + F) = 0.06F + 15.18 7.2F + (-8 * 5 + F * 5) = 0.06F + 15.18 7.2F + (-40 + 5F) = 0.06F + 15.18 Reorder the terms: -40 + 7.2F + 5F = 0.06F + 15.18 Combine like terms: 7.2F + 5F = 12.2F -40 + 12.2F = 0.06F + 15.18 Reorder the terms: -40 + 12.2F = 15.18 + 0.06F Solving -40 + 12.2F = 15.18 + 0.06F Solving for variable 'F'. Move all terms containing F to the left, all other terms to the right. Add '-0.06F' to each side of the equation. -40 + 12.2F + -0.06F = 15.18 + 0.06F + -0.06F Combine like terms: 12.2F + -0.06F = 12.14F -40 + 12.14F = 15.18 + 0.06F + -0.06F Combine like terms: 0.06F + -0.06F = 0.00 -40 + 12.14F = 15.18 + 0.00 -40 + 12.14F = 15.18 Add '40' to each side of the equation. -40 + 40 + 12.14F = 15.18 + 40 Combine like terms: -40 + 40 = 0 0 + 12.14F = 15.18 + 40 12.14F = 15.18 + 40 Combine like terms: 15.18 + 40 = 55.18 12.14F = 55.18 Divide each side by '12.14'. F = 4.545304778 Simplifying F = 4.545304778
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