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Simplifying ax + 2y + 4z = a + 1 Reorder the terms: ax + 2y + 4z = 1 + a Solving ax + 2y + 4z = 1 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. ax + 2y + -1a + 4z = 1 + a + -1a Reorder the terms: -1a + ax + 2y + 4z = 1 + a + -1a Combine like terms: a + -1a = 0 -1a + ax + 2y + 4z = 1 + 0 -1a + ax + 2y + 4z = 1 Add '-2y' to each side of the equation. -1a + ax + 2y + -2y + 4z = 1 + -2y Combine like terms: 2y + -2y = 0 -1a + ax + 0 + 4z = 1 + -2y -1a + ax + 4z = 1 + -2y Add '-4z' to each side of the equation. -1a + ax + 4z + -4z = 1 + -2y + -4z Combine like terms: 4z + -4z = 0 -1a + ax + 0 = 1 + -2y + -4z -1a + ax = 1 + -2y + -4z Reorder the terms: -1 + -1a + ax + 2y + 4z = 1 + -2y + -4z + -1 + 2y + 4z Reorder the terms: -1 + -1a + ax + 2y + 4z = 1 + -1 + -2y + 2y + -4z + 4z Combine like terms: 1 + -1 = 0 -1 + -1a + ax + 2y + 4z = 0 + -2y + 2y + -4z + 4z -1 + -1a + ax + 2y + 4z = -2y + 2y + -4z + 4z Combine like terms: -2y + 2y = 0 -1 + -1a + ax + 2y + 4z = 0 + -4z + 4z -1 + -1a + ax + 2y + 4z = -4z + 4z Combine like terms: -4z + 4z = 0 -1 + -1a + ax + 2y + 4z = 0 The solution to this equation could not be determined.
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