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Simplifying (2a + -4) + -1(3a + 1) = 0 Reorder the terms: (-4 + 2a) + -1(3a + 1) = 0 Remove parenthesis around (-4 + 2a) -4 + 2a + -1(3a + 1) = 0 Reorder the terms: -4 + 2a + -1(1 + 3a) = 0 -4 + 2a + (1 * -1 + 3a * -1) = 0 -4 + 2a + (-1 + -3a) = 0 Reorder the terms: -4 + -1 + 2a + -3a = 0 Combine like terms: -4 + -1 = -5 -5 + 2a + -3a = 0 Combine like terms: 2a + -3a = -1a -5 + -1a = 0 Solving -5 + -1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1a = 0 + 5 -1a = 0 + 5 Combine like terms: 0 + 5 = 5 -1a = 5 Divide each side by '-1'. a = -5 Simplifying a = -5
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