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Simplifying 500 = 45f + 35(12 + -1f) 500 = 45f + (12 * 35 + -1f * 35) 500 = 45f + (420 + -35f) Reorder the terms: 500 = 420 + 45f + -35f Combine like terms: 45f + -35f = 10f 500 = 420 + 10f Solving 500 = 420 + 10f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-10f' to each side of the equation. 500 + -10f = 420 + 10f + -10f Combine like terms: 10f + -10f = 0 500 + -10f = 420 + 0 500 + -10f = 420 Add '-500' to each side of the equation. 500 + -500 + -10f = 420 + -500 Combine like terms: 500 + -500 = 0 0 + -10f = 420 + -500 -10f = 420 + -500 Combine like terms: 420 + -500 = -80 -10f = -80 Divide each side by '-10'. f = 8 Simplifying f = 8
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