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Simplifying 7.2f + 5(f + -8.1) = -0.06f + 15.18 Reorder the terms: 7.2f + 5(-8.1 + f) = -0.06f + 15.18 7.2f + (-8.1 * 5 + f * 5) = -0.06f + 15.18 7.2f + (-40.5 + 5f) = -0.06f + 15.18 Reorder the terms: -40.5 + 7.2f + 5f = -0.06f + 15.18 Combine like terms: 7.2f + 5f = 12.2f -40.5 + 12.2f = -0.06f + 15.18 Reorder the terms: -40.5 + 12.2f = 15.18 + -0.06f Solving -40.5 + 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. -40.5 + 12.2f + 0.06f = 15.18 + -0.06f + 0.06f Combine like terms: 12.2f + 0.06f = 12.26f -40.5 + 12.26f = 15.18 + -0.06f + 0.06f Combine like terms: -0.06f + 0.06f = 0.00 -40.5 + 12.26f = 15.18 + 0.00 -40.5 + 12.26f = 15.18 Add '40.5' to each side of the equation. -40.5 + 40.5 + 12.26f = 15.18 + 40.5 Combine like terms: -40.5 + 40.5 = 0.0 0.0 + 12.26f = 15.18 + 40.5 12.26f = 15.18 + 40.5 Combine like terms: 15.18 + 40.5 = 55.68 12.26f = 55.68 Divide each side by '12.26'. f = 4.541598695 Simplifying f = 4.541598695
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