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Simplifying 3a + -1[4a + -3(a + -2b) + -1a] = 0 3a + -1[4a + (a * -3 + -2b * -3) + -1a] = 0 3a + -1[4a + (-3a + 6b) + -1a] = 0 Reorder the terms: 3a + -1[4a + -3a + -1a + 6b] = 0 Combine like terms: 4a + -3a = 1a 3a + -1[1a + -1a + 6b] = 0 Combine like terms: 1a + -1a = 0 3a + -1[0 + 6b] = 0 3a + -1[6b] = 0 Remove brackets around [6b] 3a + -1 * 6b = 0 Multiply -1 * 6 3a + -6b = 0 Solving 3a + -6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6b' to each side of the equation. 3a + -6b + 6b = 0 + 6b Combine like terms: -6b + 6b = 0 3a + 0 = 0 + 6b 3a = 0 + 6b Remove the zero: 3a = 6b Divide each side by '3'. a = 2b Simplifying a = 2b
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