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Simplifying 5(f + 2) + 9 = 13 + 8f Reorder the terms: 5(2 + f) + 9 = 13 + 8f (2 * 5 + f * 5) + 9 = 13 + 8f (10 + 5f) + 9 = 13 + 8f Reorder the terms: 10 + 9 + 5f = 13 + 8f Combine like terms: 10 + 9 = 19 19 + 5f = 13 + 8f Solving 19 + 5f = 13 + 8f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8f' to each side of the equation. 19 + 5f + -8f = 13 + 8f + -8f Combine like terms: 5f + -8f = -3f 19 + -3f = 13 + 8f + -8f Combine like terms: 8f + -8f = 0 19 + -3f = 13 + 0 19 + -3f = 13 Add '-19' to each side of the equation. 19 + -19 + -3f = 13 + -19 Combine like terms: 19 + -19 = 0 0 + -3f = 13 + -19 -3f = 13 + -19 Combine like terms: 13 + -19 = -6 -3f = -6 Divide each side by '-3'. f = 2 Simplifying f = 2
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