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Simplifying 3(f + 2) + 9 = 12 + 5f Reorder the terms: 3(2 + f) + 9 = 12 + 5f (2 * 3 + f * 3) + 9 = 12 + 5f (6 + 3f) + 9 = 12 + 5f Reorder the terms: 6 + 9 + 3f = 12 + 5f Combine like terms: 6 + 9 = 15 15 + 3f = 12 + 5f Solving 15 + 3f = 12 + 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. 15 + 3f + -5f = 12 + 5f + -5f Combine like terms: 3f + -5f = -2f 15 + -2f = 12 + 5f + -5f Combine like terms: 5f + -5f = 0 15 + -2f = 12 + 0 15 + -2f = 12 Add '-15' to each side of the equation. 15 + -15 + -2f = 12 + -15 Combine like terms: 15 + -15 = 0 0 + -2f = 12 + -15 -2f = 12 + -15 Combine like terms: 12 + -15 = -3 -2f = -3 Divide each side by '-2'. f = 1.5 Simplifying f = 1.5
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