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Simplifying (7a + 2y)(3e + g) = 0 Multiply (7a + 2y) * (3e + g) (7a * (3e + g) + 2y * (3e + g)) = 0 ((3e * 7a + g * 7a) + 2y * (3e + g)) = 0 ((21ae + 7ag) + 2y * (3e + g)) = 0 (21ae + 7ag + (3e * 2y + g * 2y)) = 0 (21ae + 7ag + (6ey + 2gy)) = 0 (21ae + 7ag + 6ey + 2gy) = 0 Solving 21ae + 7ag + 6ey + 2gy = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6ey' to each side of the equation. 21ae + 7ag + 6ey + -6ey + 2gy = 0 + -6ey Combine like terms: 6ey + -6ey = 0 21ae + 7ag + 0 + 2gy = 0 + -6ey 21ae + 7ag + 2gy = 0 + -6ey Remove the zero: 21ae + 7ag + 2gy = -6ey Add '-2gy' to each side of the equation. 21ae + 7ag + 2gy + -2gy = -6ey + -2gy Combine like terms: 2gy + -2gy = 0 21ae + 7ag + 0 = -6ey + -2gy 21ae + 7ag = -6ey + -2gy Reorder the terms: 21ae + 7ag + 6ey + 2gy = -6ey + 6ey + -2gy + 2gy Combine like terms: -6ey + 6ey = 0 21ae + 7ag + 6ey + 2gy = 0 + -2gy + 2gy 21ae + 7ag + 6ey + 2gy = -2gy + 2gy Combine like terms: -2gy + 2gy = 0 21ae + 7ag + 6ey + 2gy = 0 The solution to this equation could not be determined.
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