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Simplifying (r + f)(z + -2) + (r + f)(z + 9) = 0 Reorder the terms: (f + r)(z + -2) + (r + f)(z + 9) = 0 Reorder the terms: (f + r)(-2 + z) + (r + f)(z + 9) = 0 Multiply (f + r) * (-2 + z) (f(-2 + z) + r(-2 + z)) + (r + f)(z + 9) = 0 ((-2 * f + z * f) + r(-2 + z)) + (r + f)(z + 9) = 0 ((-2f + fz) + r(-2 + z)) + (r + f)(z + 9) = 0 (-2f + fz + (-2 * r + z * r)) + (r + f)(z + 9) = 0 (-2f + fz + (-2r + rz)) + (r + f)(z + 9) = 0 (-2f + fz + -2r + rz) + (r + f)(z + 9) = 0 Reorder the terms: -2f + fz + -2r + rz + (f + r)(z + 9) = 0 Reorder the terms: -2f + fz + -2r + rz + (f + r)(9 + z) = 0 Multiply (f + r) * (9 + z) -2f + fz + -2r + rz + (f(9 + z) + r(9 + z)) = 0 -2f + fz + -2r + rz + ((9 * f + z * f) + r(9 + z)) = 0 -2f + fz + -2r + rz + ((9f + fz) + r(9 + z)) = 0 -2f + fz + -2r + rz + (9f + fz + (9 * r + z * r)) = 0 -2f + fz + -2r + rz + (9f + fz + (9r + rz)) = 0 -2f + fz + -2r + rz + (9f + fz + 9r + rz) = 0 Reorder the terms: -2f + 9f + fz + fz + -2r + 9r + rz + rz = 0 Combine like terms: -2f + 9f = 7f 7f + fz + fz + -2r + 9r + rz + rz = 0 Combine like terms: fz + fz = 2fz 7f + 2fz + -2r + 9r + rz + rz = 0 Combine like terms: -2r + 9r = 7r 7f + 2fz + 7r + rz + rz = 0 Combine like terms: rz + rz = 2rz 7f + 2fz + 7r + 2rz = 0 Solving 7f + 2fz + 7r + 2rz = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-7r' to each side of the equation. 7f + 2fz + 7r + -7r + 2rz = 0 + -7r Combine like terms: 7r + -7r = 0 7f + 2fz + 0 + 2rz = 0 + -7r 7f + 2fz + 2rz = 0 + -7r Remove the zero: 7f + 2fz + 2rz = -7r Add '-2rz' to each side of the equation. 7f + 2fz + 2rz + -2rz = -7r + -2rz Combine like terms: 2rz + -2rz = 0 7f + 2fz + 0 = -7r + -2rz 7f + 2fz = -7r + -2rz Reorder the terms: 7f + 2fz + 7r + 2rz = -7r + 7r + -2rz + 2rz Combine like terms: -7r + 7r = 0 7f + 2fz + 7r + 2rz = 0 + -2rz + 2rz 7f + 2fz + 7r + 2rz = -2rz + 2rz Combine like terms: -2rz + 2rz = 0 7f + 2fz + 7r + 2rz = 0 The solution to this equation could not be determined.
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