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Simplifying 3(a + -4) + 3(4 + -1a) + 2a + -1 = 3 Reorder the terms: 3(-4 + a) + 3(4 + -1a) + 2a + -1 = 3 (-4 * 3 + a * 3) + 3(4 + -1a) + 2a + -1 = 3 (-12 + 3a) + 3(4 + -1a) + 2a + -1 = 3 -12 + 3a + (4 * 3 + -1a * 3) + 2a + -1 = 3 -12 + 3a + (12 + -3a) + 2a + -1 = 3 Reorder the terms: -12 + 12 + -1 + 3a + -3a + 2a = 3 Combine like terms: -12 + 12 = 0 0 + -1 + 3a + -3a + 2a = 3 -1 + 3a + -3a + 2a = 3 Combine like terms: 3a + -3a = 0 -1 + 0 + 2a = 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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