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Simplifying 3(f + 12) + 9 = 5f Reorder the terms: 3(12 + f) + 9 = 5f (12 * 3 + f * 3) + 9 = 5f (36 + 3f) + 9 = 5f Reorder the terms: 36 + 9 + 3f = 5f Combine like terms: 36 + 9 = 45 45 + 3f = 5f Solving 45 + 3f = 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. 45 + 3f + -5f = 5f + -5f Combine like terms: 3f + -5f = -2f 45 + -2f = 5f + -5f Combine like terms: 5f + -5f = 0 45 + -2f = 0 Add '-45' to each side of the equation. 45 + -45 + -2f = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -2f = 0 + -45 -2f = 0 + -45 Combine like terms: 0 + -45 = -45 -2f = -45 Divide each side by '-2'. f = 22.5 Simplifying f = 22.5
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