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Simplifying (2a + -4) + 2(a + -5) + -3(a + -1) = 0 Reorder the terms: (-4 + 2a) + 2(a + -5) + -3(a + -1) = 0 Remove parenthesis around (-4 + 2a) -4 + 2a + 2(a + -5) + -3(a + -1) = 0 Reorder the terms: -4 + 2a + 2(-5 + a) + -3(a + -1) = 0 -4 + 2a + (-5 * 2 + a * 2) + -3(a + -1) = 0 -4 + 2a + (-10 + 2a) + -3(a + -1) = 0 Reorder the terms: -4 + 2a + -10 + 2a + -3(-1 + a) = 0 -4 + 2a + -10 + 2a + (-1 * -3 + a * -3) = 0 -4 + 2a + -10 + 2a + (3 + -3a) = 0 Reorder the terms: -4 + -10 + 3 + 2a + 2a + -3a = 0 Combine like terms: -4 + -10 = -14 -14 + 3 + 2a + 2a + -3a = 0 Combine like terms: -14 + 3 = -11 -11 + 2a + 2a + -3a = 0 Combine like terms: 2a + 2a = 4a -11 + 4a + -3a = 0 Combine like terms: 4a + -3a = 1a -11 + 1a = 0 Solving -11 + 1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 1a = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 1a = 0 + 11 1a = 0 + 11 Combine like terms: 0 + 11 = 11 1a = 11 Divide each side by '1'. a = 11 Simplifying a = 11
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