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Simplifying 3(a + -6b) + -1(a + 6b) + 2b = 0 (a * 3 + -6b * 3) + -1(a + 6b) + 2b = 0 (3a + -18b) + -1(a + 6b) + 2b = 0 3a + -18b + (a * -1 + 6b * -1) + 2b = 0 3a + -18b + (-1a + -6b) + 2b = 0 Reorder the terms: 3a + -1a + -18b + -6b + 2b = 0 Combine like terms: 3a + -1a = 2a 2a + -18b + -6b + 2b = 0 Combine like terms: -18b + -6b = -24b 2a + -24b + 2b = 0 Combine like terms: -24b + 2b = -22b 2a + -22b = 0 Solving 2a + -22b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '22b' to each side of the equation. 2a + -22b + 22b = 0 + 22b Combine like terms: -22b + 22b = 0 2a + 0 = 0 + 22b 2a = 0 + 22b Remove the zero: 2a = 22b Divide each side by '2'. a = 11b Simplifying a = 11b
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