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Simplifying 2(1 + 2a) + 2(a + 2b) = 0 (1 * 2 + 2a * 2) + 2(a + 2b) = 0 (2 + 4a) + 2(a + 2b) = 0 2 + 4a + (a * 2 + 2b * 2) = 0 2 + 4a + (2a + 4b) = 0 Combine like terms: 4a + 2a = 6a 2 + 6a + 4b = 0 Solving 2 + 6a + 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 + 6a + -2 + 4b = 0 + -2 Reorder the terms: 2 + -2 + 6a + 4b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6a + 4b = 0 + -2 6a + 4b = 0 + -2 Combine like terms: 0 + -2 = -2 6a + 4b = -2 Add '-4b' to each side of the equation. 6a + 4b + -4b = -2 + -4b Combine like terms: 4b + -4b = 0 6a + 0 = -2 + -4b 6a = -2 + -4b Divide each side by '6'. a = -0.3333333333 + -0.6666666667b Simplifying a = -0.3333333333 + -0.6666666667b
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