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Simplifying (4f + 5) + (-5f + -40) = 180 Reorder the terms: (5 + 4f) + (-5f + -40) = 180 Remove parenthesis around (5 + 4f) 5 + 4f + (-5f + -40) = 180 Reorder the terms: 5 + 4f + (-40 + -5f) = 180 Remove parenthesis around (-40 + -5f) 5 + 4f + -40 + -5f = 180 Reorder the terms: 5 + -40 + 4f + -5f = 180 Combine like terms: 5 + -40 = -35 -35 + 4f + -5f = 180 Combine like terms: 4f + -5f = -1f -35 + -1f = 180 Solving -35 + -1f = 180 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -1f = 180 + 35 Combine like terms: -35 + 35 = 0 0 + -1f = 180 + 35 -1f = 180 + 35 Combine like terms: 180 + 35 = 215 -1f = 215 Divide each side by '-1'. f = -215 Simplifying f = -215
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