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Simplifying 2(3a + 1) + 4b + a = 0 Reorder the terms: 2(1 + 3a) + 4b + a = 0 (1 * 2 + 3a * 2) + 4b + a = 0 (2 + 6a) + 4b + a = 0 Reorder the terms: 2 + 6a + a + 4b = 0 Combine like terms: 6a + a = 7a 2 + 7a + 4b = 0 Solving 2 + 7a + 4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 7a + -2 + 4b = 0 + -2 Reorder the terms: 2 + -2 + 7a + 4b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7a + 4b = 0 + -2 7a + 4b = 0 + -2 Combine like terms: 0 + -2 = -2 7a + 4b = -2 Add '-4b' to each side of the equation. 7a + 4b + -4b = -2 + -4b Combine like terms: 4b + -4b = 0 7a + 0 = -2 + -4b 7a = -2 + -4b Divide each side by '7'. a = -0.2857142857 + -0.5714285714b Simplifying a = -0.2857142857 + -0.5714285714b
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