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Simplifying 4(f + -4) = 2(2 + f) Reorder the terms: 4(-4 + f) = 2(2 + f) (-4 * 4 + f * 4) = 2(2 + f) (-16 + 4f) = 2(2 + f) -16 + 4f = (2 * 2 + f * 2) -16 + 4f = (4 + 2f) Solving -16 + 4f = 4 + 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. -16 + 4f + -2f = 4 + 2f + -2f Combine like terms: 4f + -2f = 2f -16 + 2f = 4 + 2f + -2f Combine like terms: 2f + -2f = 0 -16 + 2f = 4 + 0 -16 + 2f = 4 Add '16' to each side of the equation. -16 + 16 + 2f = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 2f = 4 + 16 2f = 4 + 16 Combine like terms: 4 + 16 = 20 2f = 20 Divide each side by '2'. f = 10 Simplifying f = 10
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