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Simplifying f(2k + 1) = 6 + -3(2k + 1) + -5(2k + 1) * sqaured Reorder the terms: f(1 + 2k) = 6 + -3(2k + 1) + -5(2k + 1) * sqaured (1 * f + 2k * f) = 6 + -3(2k + 1) + -5(2k + 1) * sqaured (1f + 2fk) = 6 + -3(2k + 1) + -5(2k + 1) * sqaured Reorder the terms: 1f + 2fk = 6 + -3(1 + 2k) + -5(2k + 1) * sqaured 1f + 2fk = 6 + (1 * -3 + 2k * -3) + -5(2k + 1) * sqaured 1f + 2fk = 6 + (-3 + -6k) + -5(2k + 1) * sqaured Reorder the terms: 1f + 2fk = 6 + -3 + -6k + -5(1 + 2k) * sqaured Reorder the terms for easier multiplication: 1f + 2fk = 6 + -3 + -6k + -5adeqrsu(1 + 2k) 1f + 2fk = 6 + -3 + -6k + (1 * -5adeqrsu + 2k * -5adeqrsu) Reorder the terms: 1f + 2fk = 6 + -3 + -6k + (-10adekqrsu + -5adeqrsu) 1f + 2fk = 6 + -3 + -6k + (-10adekqrsu + -5adeqrsu) Reorder the terms: 1f + 2fk = 6 + -3 + -10adekqrsu + -5adeqrsu + -6k Combine like terms: 6 + -3 = 3 1f + 2fk = 3 + -10adekqrsu + -5adeqrsu + -6k Solving 1f + 2fk = 3 + -10adekqrsu + -5adeqrsu + -6k Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: -3 + 10adekqrsu + 5adeqrsu + 1f + 2fk + 6k = 3 + -10adekqrsu + -5adeqrsu + -6k + -3 + 10adekqrsu + 5adeqrsu + 6k Reorder the terms: -3 + 10adekqrsu + 5adeqrsu + 1f + 2fk + 6k = 3 + -3 + -10adekqrsu + 10adekqrsu + -5adeqrsu + 5adeqrsu + -6k + 6k Combine like terms: 3 + -3 = 0 -3 + 10adekqrsu + 5adeqrsu + 1f + 2fk + 6k = 0 + -10adekqrsu + 10adekqrsu + -5adeqrsu + 5adeqrsu + -6k + 6k -3 + 10adekqrsu + 5adeqrsu + 1f + 2fk + 6k = -10adekqrsu + 10adekqrsu + -5adeqrsu + 5adeqrsu + -6k + 6k Combine like terms: -10adekqrsu + 10adekqrsu = 0 -3 + 10adekqrsu + 5adeqrsu + 1f + 2fk + 6k = 0 + -5adeqrsu + 5adeqrsu + -6k + 6k -3 + 10adekqrsu + 5adeqrsu + 1f + 2fk + 6k = -5adeqrsu + 5adeqrsu + -6k + 6k Combine like terms: -5adeqrsu + 5adeqrsu = 0 -3 + 10adekqrsu + 5adeqrsu + 1f + 2fk + 6k = 0 + -6k + 6k -3 + 10adekqrsu + 5adeqrsu + 1f + 2fk + 6k = -6k + 6k Combine like terms: -6k + 6k = 0 -3 + 10adekqrsu + 5adeqrsu + 1f + 2fk + 6k = 0 The solution to this equation could not be determined.
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