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Simplifying (4c + -3)(-5a + 7) = 0 Reorder the terms: (-3 + 4c)(-5a + 7) = 0 Reorder the terms: (-3 + 4c)(7 + -5a) = 0 Multiply (-3 + 4c) * (7 + -5a) (-3(7 + -5a) + 4c * (7 + -5a)) = 0 ((7 * -3 + -5a * -3) + 4c * (7 + -5a)) = 0 ((-21 + 15a) + 4c * (7 + -5a)) = 0 (-21 + 15a + (7 * 4c + -5a * 4c)) = 0 Reorder the terms: (-21 + 15a + (-20ac + 28c)) = 0 (-21 + 15a + (-20ac + 28c)) = 0 (-21 + 15a + -20ac + 28c) = 0 Solving -21 + 15a + -20ac + 28c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 15a + -20ac + 21 + 28c = 0 + 21 Reorder the terms: -21 + 21 + 15a + -20ac + 28c = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 15a + -20ac + 28c = 0 + 21 15a + -20ac + 28c = 0 + 21 Combine like terms: 0 + 21 = 21 15a + -20ac + 28c = 21 Add '-28c' to each side of the equation. 15a + -20ac + 28c + -28c = 21 + -28c Combine like terms: 28c + -28c = 0 15a + -20ac + 0 = 21 + -28c 15a + -20ac = 21 + -28c Reorder the terms: -21 + 15a + -20ac + 28c = 21 + -28c + -21 + 28c Reorder the terms: -21 + 15a + -20ac + 28c = 21 + -21 + -28c + 28c Combine like terms: 21 + -21 = 0 -21 + 15a + -20ac + 28c = 0 + -28c + 28c -21 + 15a + -20ac + 28c = -28c + 28c Combine like terms: -28c + 28c = 0 -21 + 15a + -20ac + 28c = 0 The solution to this equation could not be determined.
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