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Simplifying a(2b + 4c + -3d) + -1(6a + -7d) = 0 (2b * a + 4c * a + -3d * a) + -1(6a + -7d) = 0 (2ab + 4ac + -3ad) + -1(6a + -7d) = 0 2ab + 4ac + -3ad + (6a * -1 + -7d * -1) = 0 2ab + 4ac + -3ad + (-6a + 7d) = 0 Reorder the terms: -6a + 2ab + 4ac + -3ad + 7d = 0 Solving -6a + 2ab + 4ac + -3ad + 7d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7d' to each side of the equation. -6a + 2ab + 4ac + -3ad + 7d + -7d = 0 + -7d Combine like terms: 7d + -7d = 0 -6a + 2ab + 4ac + -3ad + 0 = 0 + -7d -6a + 2ab + 4ac + -3ad = 0 + -7d Remove the zero: -6a + 2ab + 4ac + -3ad = -7d Combine like terms: -7d + 7d = 0 -6a + 2ab + 4ac + -3ad + 7d = 0 The solution to this equation could not be determined.
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