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Simplifying 8 + 3(f + 1) = 38 Reorder the terms: 8 + 3(1 + f) = 38 8 + (1 * 3 + f * 3) = 38 8 + (3 + 3f) = 38 Combine like terms: 8 + 3 = 11 11 + 3f = 38 Solving 11 + 3f = 38 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 3f = 38 + -11 Combine like terms: 11 + -11 = 0 0 + 3f = 38 + -11 3f = 38 + -11 Combine like terms: 38 + -11 = 27 3f = 27 Divide each side by '3'. f = 9 Simplifying f = 9
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