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Simplifying -1(3a + -4) + -2 = 2 + (3a + 2) Reorder the terms: -1(-4 + 3a) + -2 = 2 + (3a + 2) (-4 * -1 + 3a * -1) + -2 = 2 + (3a + 2) (4 + -3a) + -2 = 2 + (3a + 2) Reorder the terms: 4 + -2 + -3a = 2 + (3a + 2) Combine like terms: 4 + -2 = 2 2 + -3a = 2 + (3a + 2) Reorder the terms: 2 + -3a = 2 + (2 + 3a) Remove parenthesis around (2 + 3a) 2 + -3a = 2 + 2 + 3a Combine like terms: 2 + 2 = 4 2 + -3a = 4 + 3a Solving 2 + -3a = 4 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 2 + -3a + -3a = 4 + 3a + -3a Combine like terms: -3a + -3a = -6a 2 + -6a = 4 + 3a + -3a Combine like terms: 3a + -3a = 0 2 + -6a = 4 + 0 2 + -6a = 4 Add '-2' to each side of the equation. 2 + -2 + -6a = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -6a = 4 + -2 -6a = 4 + -2 Combine like terms: 4 + -2 = 2 -6a = 2 Divide each side by '-6'. a = -0.3333333333 Simplifying a = -0.3333333333
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