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Simplifying 3a + (2a + -1) + -1(a + 2) + 3(a + -2) = 0 Reorder the terms: 3a + (-1 + 2a) + -1(a + 2) + 3(a + -2) = 0 Remove parenthesis around (-1 + 2a) 3a + -1 + 2a + -1(a + 2) + 3(a + -2) = 0 Reorder the terms: 3a + -1 + 2a + -1(2 + a) + 3(a + -2) = 0 3a + -1 + 2a + (2 * -1 + a * -1) + 3(a + -2) = 0 3a + -1 + 2a + (-2 + -1a) + 3(a + -2) = 0 Reorder the terms: 3a + -1 + 2a + -2 + -1a + 3(-2 + a) = 0 3a + -1 + 2a + -2 + -1a + (-2 * 3 + a * 3) = 0 3a + -1 + 2a + -2 + -1a + (-6 + 3a) = 0 Reorder the terms: -1 + -2 + -6 + 3a + 2a + -1a + 3a = 0 Combine like terms: -1 + -2 = -3 -3 + -6 + 3a + 2a + -1a + 3a = 0 Combine like terms: -3 + -6 = -9 -9 + 3a + 2a + -1a + 3a = 0 Combine like terms: 3a + 2a = 5a -9 + 5a + -1a + 3a = 0 Combine like terms: 5a + -1a = 4a -9 + 4a + 3a = 0 Combine like terms: 4a + 3a = 7a -9 + 7a = 0 Solving -9 + 7a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7a = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 7a = 0 + 9 7a = 0 + 9 Combine like terms: 0 + 9 = 9 7a = 9 Divide each side by '7'. a = 1.285714286 Simplifying a = 1.285714286
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