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Simplifying (2a + -5) + (3a + -1) + -1(4a + 2) = 0 Reorder the terms: (-5 + 2a) + (3a + -1) + -1(4a + 2) = 0 Remove parenthesis around (-5 + 2a) -5 + 2a + (3a + -1) + -1(4a + 2) = 0 Reorder the terms: -5 + 2a + (-1 + 3a) + -1(4a + 2) = 0 Remove parenthesis around (-1 + 3a) -5 + 2a + -1 + 3a + -1(4a + 2) = 0 Reorder the terms: -5 + 2a + -1 + 3a + -1(2 + 4a) = 0 -5 + 2a + -1 + 3a + (2 * -1 + 4a * -1) = 0 -5 + 2a + -1 + 3a + (-2 + -4a) = 0 Reorder the terms: -5 + -1 + -2 + 2a + 3a + -4a = 0 Combine like terms: -5 + -1 = -6 -6 + -2 + 2a + 3a + -4a = 0 Combine like terms: -6 + -2 = -8 -8 + 2a + 3a + -4a = 0 Combine like terms: 2a + 3a = 5a -8 + 5a + -4a = 0 Combine like terms: 5a + -4a = 1a -8 + 1a = 0 Solving -8 + 1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1a = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 1a = 0 + 8 1a = 0 + 8 Combine like terms: 0 + 8 = 8 1a = 8 Divide each side by '1'. a = 8 Simplifying a = 8
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