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Simplifying 3x(a + -4) + -5(a + -4) = 0 Reorder the terms: 3x(-4 + a) + -5(a + -4) = 0 (-4 * 3x + a * 3x) + -5(a + -4) = 0 Reorder the terms: (3ax + -12x) + -5(a + -4) = 0 (3ax + -12x) + -5(a + -4) = 0 Reorder the terms: 3ax + -12x + -5(-4 + a) = 0 3ax + -12x + (-4 * -5 + a * -5) = 0 3ax + -12x + (20 + -5a) = 0 Reorder the terms: 20 + -5a + 3ax + -12x = 0 Solving 20 + -5a + 3ax + -12x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -5a + 3ax + -20 + -12x = 0 + -20 Reorder the terms: 20 + -20 + -5a + 3ax + -12x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -5a + 3ax + -12x = 0 + -20 -5a + 3ax + -12x = 0 + -20 Combine like terms: 0 + -20 = -20 -5a + 3ax + -12x = -20 Add '12x' to each side of the equation. -5a + 3ax + -12x + 12x = -20 + 12x Combine like terms: -12x + 12x = 0 -5a + 3ax + 0 = -20 + 12x -5a + 3ax = -20 + 12x Reorder the terms: 20 + -5a + 3ax + -12x = -20 + 12x + 20 + -12x Reorder the terms: 20 + -5a + 3ax + -12x = -20 + 20 + 12x + -12x Combine like terms: -20 + 20 = 0 20 + -5a + 3ax + -12x = 0 + 12x + -12x 20 + -5a + 3ax + -12x = 12x + -12x Combine like terms: 12x + -12x = 0 20 + -5a + 3ax + -12x = 0 The solution to this equation could not be determined.
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