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Simplifying a + -1[2a + -1[b + -1(3a + -2b)]] = 0 a + -1[2a + -1[b + (3a * -1 + -2b * -1)]] = 0 a + -1[2a + -1[b + (-3a + 2b)]] = 0 Reorder the terms: a + -1[2a + -1[-3a + b + 2b]] = 0 Combine like terms: b + 2b = 3b a + -1[2a + -1[-3a + 3b]] = 0 a + -1[2a + [-3a * -1 + 3b * -1]] = 0 a + -1[2a + [3a + -3b]] = 0 Combine like terms: 2a + 3a = 5a a + -1[5a + -3b] = 0 a + [5a * -1 + -3b * -1] = 0 a + [-5a + 3b] = 0 Combine like terms: a + -5a = -4a -4a + 3b = 0 Solving -4a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. -4a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 -4a + 0 = 0 + -3b -4a = 0 + -3b Remove the zero: -4a = -3b Divide each side by '-4'. a = 0.75b Simplifying a = 0.75b
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