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Simplifying 2a + -1[3b + (-4a + 5b)] = 0 Remove parenthesis around (-4a + 5b) 2a + -1[3b + -4a + 5b] = 0 Reorder the terms: 2a + -1[-4a + 3b + 5b] = 0 Combine like terms: 3b + 5b = 8b 2a + -1[-4a + 8b] = 0 2a + [-4a * -1 + 8b * -1] = 0 2a + [4a + -8b] = 0 Combine like terms: 2a + 4a = 6a 6a + -8b = 0 Solving 6a + -8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8b' to each side of the equation. 6a + -8b + 8b = 0 + 8b Combine like terms: -8b + 8b = 0 6a + 0 = 0 + 8b 6a = 0 + 8b Remove the zero: 6a = 8b Divide each side by '6'. a = 1.333333333b Simplifying a = 1.333333333b
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