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Simplifying (4a + 9b) + -1[12 + -1(5a + 11b) + -13] = 0 Remove parenthesis around (4a + 9b) 4a + 9b + -1[12 + -1(5a + 11b) + -13] = 0 4a + 9b + -1[12 + (5a * -1 + 11b * -1) + -13] = 0 4a + 9b + -1[12 + (-5a + -11b) + -13] = 0 Reorder the terms: 4a + 9b + -1[12 + -13 + -5a + -11b] = 0 Combine like terms: 12 + -13 = -1 4a + 9b + -1[-1 + -5a + -11b] = 0 4a + 9b + [-1 * -1 + -5a * -1 + -11b * -1] = 0 4a + 9b + [1 + 5a + 11b] = 0 Reorder the terms: 1 + 4a + 5a + 9b + 11b = 0 Combine like terms: 4a + 5a = 9a 1 + 9a + 9b + 11b = 0 Combine like terms: 9b + 11b = 20b 1 + 9a + 20b = 0 Solving 1 + 9a + 20b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 9a + -1 + 20b = 0 + -1 Reorder the terms: 1 + -1 + 9a + 20b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9a + 20b = 0 + -1 9a + 20b = 0 + -1 Combine like terms: 0 + -1 = -1 9a + 20b = -1 Add '-20b' to each side of the equation. 9a + 20b + -20b = -1 + -20b Combine like terms: 20b + -20b = 0 9a + 0 = -1 + -20b 9a = -1 + -20b Divide each side by '9'. a = -0.1111111111 + -2.222222222b Simplifying a = -0.1111111111 + -2.222222222b
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