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Simplifying 3x(a + -4) + 3x(4 + -1a) + 2a + -1 = 3 Reorder the terms: 3x(-4 + a) + 3x(4 + -1a) + 2a + -1 = 3 (-4 * 3x + a * 3x) + 3x(4 + -1a) + 2a + -1 = 3 Reorder the terms: (3ax + -12x) + 3x(4 + -1a) + 2a + -1 = 3 (3ax + -12x) + 3x(4 + -1a) + 2a + -1 = 3 3ax + -12x + (4 * 3x + -1a * 3x) + 2a + -1 = 3 Reorder the terms: 3ax + -12x + (-3ax + 12x) + 2a + -1 = 3 3ax + -12x + (-3ax + 12x) + 2a + -1 = 3 Reorder the terms: -1 + 2a + 3ax + -3ax + -12x + 12x = 3 Combine like terms: 3ax + -3ax = 0 -1 + 2a + 0 + -12x + 12x = 3 -1 + 2a + -12x + 12x = 3 Combine like terms: -12x + 12x = 0 -1 + 2a + 0 = 3 -1 + 2a = 3 Solving -1 + 2a = 3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2a = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 2a = 3 + 1 2a = 3 + 1 Combine like terms: 3 + 1 = 4 2a = 4 Divide each side by '2'. a = 2 Simplifying a = 2
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