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Simplifying 4(3a + 1 + 2b) = 0 Reorder the terms: 4(1 + 3a + 2b) = 0 (1 * 4 + 3a * 4 + 2b * 4) = 0 (4 + 12a + 8b) = 0 Solving 4 + 12a + 8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 12a + -4 + 8b = 0 + -4 Reorder the terms: 4 + -4 + 12a + 8b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 12a + 8b = 0 + -4 12a + 8b = 0 + -4 Combine like terms: 0 + -4 = -4 12a + 8b = -4 Add '-8b' to each side of the equation. 12a + 8b + -8b = -4 + -8b Combine like terms: 8b + -8b = 0 12a + 0 = -4 + -8b 12a = -4 + -8b Divide each side by '12'. a = -0.3333333333 + -0.6666666667b Simplifying a = -0.3333333333 + -0.6666666667b
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