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Simplifying 4f + 19 = 6f + -1f + 8 Reorder the terms: 19 + 4f = 6f + -1f + 8 Reorder the terms: 19 + 4f = 8 + 6f + -1f Combine like terms: 6f + -1f = 5f 19 + 4f = 8 + 5f Solving 19 + 4f = 8 + 5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-5f' to each side of the equation. 19 + 4f + -5f = 8 + 5f + -5f Combine like terms: 4f + -5f = -1f 19 + -1f = 8 + 5f + -5f Combine like terms: 5f + -5f = 0 19 + -1f = 8 + 0 19 + -1f = 8 Add '-19' to each side of the equation. 19 + -19 + -1f = 8 + -19 Combine like terms: 19 + -19 = 0 0 + -1f = 8 + -19 -1f = 8 + -19 Combine like terms: 8 + -19 = -11 -1f = -11 Divide each side by '-1'. f = 11 Simplifying f = 11
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