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Simplifying -3(a + -4) + -4(1 + -1a) = a + 4 + 4a + 4 Reorder the terms: -3(-4 + a) + -4(1 + -1a) = a + 4 + 4a + 4 (-4 * -3 + a * -3) + -4(1 + -1a) = a + 4 + 4a + 4 (12 + -3a) + -4(1 + -1a) = a + 4 + 4a + 4 12 + -3a + (1 * -4 + -1a * -4) = a + 4 + 4a + 4 12 + -3a + (-4 + 4a) = a + 4 + 4a + 4 Reorder the terms: 12 + -4 + -3a + 4a = a + 4 + 4a + 4 Combine like terms: 12 + -4 = 8 8 + -3a + 4a = a + 4 + 4a + 4 Combine like terms: -3a + 4a = 1a 8 + 1a = a + 4 + 4a + 4 Reorder the terms: 8 + 1a = 4 + 4 + a + 4a Combine like terms: 4 + 4 = 8 8 + 1a = 8 + a + 4a Combine like terms: a + 4a = 5a 8 + 1a = 8 + 5a Add '-8' to each side of the equation. 8 + -8 + 1a = 8 + -8 + 5a Combine like terms: 8 + -8 = 0 0 + 1a = 8 + -8 + 5a 1a = 8 + -8 + 5a Combine like terms: 8 + -8 = 0 1a = 0 + 5a 1a = 5a Solving 1a = 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 1a + -5a = 5a + -5a Combine like terms: 1a + -5a = -4a -4a = 5a + -5a Combine like terms: 5a + -5a = 0 -4a = 0 Divide each side by '-4'. a = 0 Simplifying a = 0
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