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Simplifying (A + -5)(3a + 8) = 0 Reorder the terms: (-5 + A)(3a + 8) = 0 Reorder the terms: (-5 + A)(8 + 3a) = 0 Multiply (-5 + A) * (8 + 3a) (-5(8 + 3a) + A(8 + 3a)) = 0 ((8 * -5 + 3a * -5) + A(8 + 3a)) = 0 ((-40 + -15a) + A(8 + 3a)) = 0 (-40 + -15a + (8 * A + 3a * A)) = 0 (-40 + -15a + (8A + 3aA)) = 0 Reorder the terms: (-40 + 8A + -15a + 3aA) = 0 (-40 + 8A + -15a + 3aA) = 0 Solving -40 + 8A + -15a + 3aA = 0 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 8A + -15a + 40 + 3aA = 0 + 40 Reorder the terms: -40 + 40 + 8A + -15a + 3aA = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 8A + -15a + 3aA = 0 + 40 8A + -15a + 3aA = 0 + 40 Combine like terms: 0 + 40 = 40 8A + -15a + 3aA = 40 Add '15a' to each side of the equation. 8A + -15a + 15a + 3aA = 40 + 15a Combine like terms: -15a + 15a = 0 8A + 0 + 3aA = 40 + 15a 8A + 3aA = 40 + 15a Reorder the terms: -40 + 8A + -15a + 3aA = 40 + 15a + -40 + -15a Reorder the terms: -40 + 8A + -15a + 3aA = 40 + -40 + 15a + -15a Combine like terms: 40 + -40 = 0 -40 + 8A + -15a + 3aA = 0 + 15a + -15a -40 + 8A + -15a + 3aA = 15a + -15a Combine like terms: 15a + -15a = 0 -40 + 8A + -15a + 3aA = 0 The solution to this equation could not be determined.
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