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Simplifying 7(f + 4) + 8 = 4f Reorder the terms: 7(4 + f) + 8 = 4f (4 * 7 + f * 7) + 8 = 4f (28 + 7f) + 8 = 4f Reorder the terms: 28 + 8 + 7f = 4f Combine like terms: 28 + 8 = 36 36 + 7f = 4f Solving 36 + 7f = 4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4f' to each side of the equation. 36 + 7f + -4f = 4f + -4f Combine like terms: 7f + -4f = 3f 36 + 3f = 4f + -4f Combine like terms: 4f + -4f = 0 36 + 3f = 0 Add '-36' to each side of the equation. 36 + -36 + 3f = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 3f = 0 + -36 3f = 0 + -36 Combine like terms: 0 + -36 = -36 3f = -36 Divide each side by '3'. f = -12 Simplifying f = -12
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