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Simplifying (4f + 5) + -1(-5 + -40) = 180 Reorder the terms: (5 + 4f) + -1(-5 + -40) = 180 Remove parenthesis around (5 + 4f) 5 + 4f + -1(-5 + -40) = 180 Combine like terms: -5 + -40 = -45 5 + 4f + -1(-45) = 180 Multiply -1 * -45 5 + 4f + 45 = 180 Reorder the terms: 5 + 45 + 4f = 180 Combine like terms: 5 + 45 = 50 50 + 4f = 180 Solving 50 + 4f = 180 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 4f = 180 + -50 Combine like terms: 50 + -50 = 0 0 + 4f = 180 + -50 4f = 180 + -50 Combine like terms: 180 + -50 = 130 4f = 130 Divide each side by '4'. f = 32.5 Simplifying f = 32.5
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