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Simplifying 6a + 5b + 2(3 + 4b) = 0 6a + 5b + (3 * 2 + 4b * 2) = 0 6a + 5b + (6 + 8b) = 0 Reorder the terms: 6 + 6a + 5b + 8b = 0 Combine like terms: 5b + 8b = 13b 6 + 6a + 13b = 0 Solving 6 + 6a + 13b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 6a + -6 + 13b = 0 + -6 Reorder the terms: 6 + -6 + 6a + 13b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 6a + 13b = 0 + -6 6a + 13b = 0 + -6 Combine like terms: 0 + -6 = -6 6a + 13b = -6 Add '-13b' to each side of the equation. 6a + 13b + -13b = -6 + -13b Combine like terms: 13b + -13b = 0 6a + 0 = -6 + -13b 6a = -6 + -13b Divide each side by '6'. a = -1 + -2.166666667b Simplifying a = -1 + -2.166666667b
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