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Simplifying 5f + -19 = 3f + 77 Reorder the terms: -19 + 5f = 3f + 77 Reorder the terms: -19 + 5f = 77 + 3f Solving -19 + 5f = 77 + 3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3f' to each side of the equation. -19 + 5f + -3f = 77 + 3f + -3f Combine like terms: 5f + -3f = 2f -19 + 2f = 77 + 3f + -3f Combine like terms: 3f + -3f = 0 -19 + 2f = 77 + 0 -19 + 2f = 77 Add '19' to each side of the equation. -19 + 19 + 2f = 77 + 19 Combine like terms: -19 + 19 = 0 0 + 2f = 77 + 19 2f = 77 + 19 Combine like terms: 77 + 19 = 96 2f = 96 Divide each side by '2'. f = 48 Simplifying f = 48
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