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Simplifying (3a + -8) + -1(a + -4) = 0 Reorder the terms: (-8 + 3a) + -1(a + -4) = 0 Remove parenthesis around (-8 + 3a) -8 + 3a + -1(a + -4) = 0 Reorder the terms: -8 + 3a + -1(-4 + a) = 0 -8 + 3a + (-4 * -1 + a * -1) = 0 -8 + 3a + (4 + -1a) = 0 Reorder the terms: -8 + 4 + 3a + -1a = 0 Combine like terms: -8 + 4 = -4 -4 + 3a + -1a = 0 Combine like terms: 3a + -1a = 2a -4 + 2a = 0 Solving -4 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2a = 0 + 4 2a = 0 + 4 Combine like terms: 0 + 4 = 4 2a = 4 Divide each side by '2'. a = 2 Simplifying a = 2
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