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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 = -17 -17 + 2a + 2a + -3a = 0 Combine like terms: 2a + 2a = 4a -17 + 4a + -3a = 0 Combine like terms: 4a + -3a = 1a -17 + 1a = 0 Solving -17 + 1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 1a = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 1a = 0 + 17 1a = 0 + 17 Combine like terms: 0 + 17 = 17 1a = 17 Divide each side by '1'. a = 17 Simplifying a = 17
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