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Simplifying 3(f + 7) + 9 = 13 + 5f Reorder the terms: 3(7 + f) + 9 = 13 + 5f (7 * 3 + f * 3) + 9 = 13 + 5f (21 + 3f) + 9 = 13 + 5f Reorder the terms: 21 + 9 + 3f = 13 + 5f Combine like terms: 21 + 9 = 30 30 + 3f = 13 + 5f Solving 30 + 3f = 13 + 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. 30 + 3f + -5f = 13 + 5f + -5f Combine like terms: 3f + -5f = -2f 30 + -2f = 13 + 5f + -5f Combine like terms: 5f + -5f = 0 30 + -2f = 13 + 0 30 + -2f = 13 Add '-30' to each side of the equation. 30 + -30 + -2f = 13 + -30 Combine like terms: 30 + -30 = 0 0 + -2f = 13 + -30 -2f = 13 + -30 Combine like terms: 13 + -30 = -17 -2f = -17 Divide each side by '-2'. f = 8.5 Simplifying f = 8.5
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