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Simplifying a + 3b + 2a + 6 + 7b = 0 Reorder the terms: 6 + a + 2a + 3b + 7b = 0 Combine like terms: a + 2a = 3a 6 + 3a + 3b + 7b = 0 Combine like terms: 3b + 7b = 10b 6 + 3a + 10b = 0 Solving 6 + 3a + 10b = 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 + 3a + -6 + 10b = 0 + -6 Reorder the terms: 6 + -6 + 3a + 10b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3a + 10b = 0 + -6 3a + 10b = 0 + -6 Combine like terms: 0 + -6 = -6 3a + 10b = -6 Add '-10b' to each side of the equation. 3a + 10b + -10b = -6 + -10b Combine like terms: 10b + -10b = 0 3a + 0 = -6 + -10b 3a = -6 + -10b Divide each side by '3'. a = -2 + -3.333333333b Simplifying a = -2 + -3.333333333b
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