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Simplifying (4f + 5) + -1(-5f + -40) = 180 Reorder the terms: (5 + 4f) + -1(-5f + -40) = 180 Remove parenthesis around (5 + 4f) 5 + 4f + -1(-5f + -40) = 180 Reorder the terms: 5 + 4f + -1(-40 + -5f) = 180 5 + 4f + (-40 * -1 + -5f * -1) = 180 5 + 4f + (40 + 5f) = 180 Reorder the terms: 5 + 40 + 4f + 5f = 180 Combine like terms: 5 + 40 = 45 45 + 4f + 5f = 180 Combine like terms: 4f + 5f = 9f 45 + 9f = 180 Solving 45 + 9f = 180 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 + 9f = 180 + -45 Combine like terms: 45 + -45 = 0 0 + 9f = 180 + -45 9f = 180 + -45 Combine like terms: 180 + -45 = 135 9f = 135 Divide each side by '9'. f = 15 Simplifying f = 15
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