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Simplifying (4f + 5) + -1(5f + -40) = 100 Reorder the terms: (5 + 4f) + -1(5f + -40) = 100 Remove parenthesis around (5 + 4f) 5 + 4f + -1(5f + -40) = 100 Reorder the terms: 5 + 4f + -1(-40 + 5f) = 100 5 + 4f + (-40 * -1 + 5f * -1) = 100 5 + 4f + (40 + -5f) = 100 Reorder the terms: 5 + 40 + 4f + -5f = 100 Combine like terms: 5 + 40 = 45 45 + 4f + -5f = 100 Combine like terms: 4f + -5f = -1f 45 + -1f = 100 Solving 45 + -1f = 100 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -1f = 100 + -45 Combine like terms: 45 + -45 = 0 0 + -1f = 100 + -45 -1f = 100 + -45 Combine like terms: 100 + -45 = 55 -1f = 55 Divide each side by '-1'. f = -55 Simplifying f = -55
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