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Simplifying 4(f + 1) = 2f + 12 Reorder the terms: 4(1 + f) = 2f + 12 (1 * 4 + f * 4) = 2f + 12 (4 + 4f) = 2f + 12 Reorder the terms: 4 + 4f = 12 + 2f Solving 4 + 4f = 12 + 2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. 4 + 4f + -2f = 12 + 2f + -2f Combine like terms: 4f + -2f = 2f 4 + 2f = 12 + 2f + -2f Combine like terms: 2f + -2f = 0 4 + 2f = 12 + 0 4 + 2f = 12 Add '-4' to each side of the equation. 4 + -4 + 2f = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 2f = 12 + -4 2f = 12 + -4 Combine like terms: 12 + -4 = 8 2f = 8 Divide each side by '2'. f = 4 Simplifying f = 4
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