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Simplifying 16a + [-7 + -1(4b + -1)] + -1[-1(5a + 1) + (-2b + 9) + -6a] = 0 Reorder the terms: 16a + [-7 + -1(-1 + 4b)] + -1[-1(5a + 1) + (-2b + 9) + -6a] = 0 16a + [-7 + (-1 * -1 + 4b * -1)] + -1[-1(5a + 1) + (-2b + 9) + -6a] = 0 16a + [-7 + (1 + -4b)] + -1[-1(5a + 1) + (-2b + 9) + -6a] = 0 Combine like terms: -7 + 1 = -6 16a + [-6 + -4b] + -1[-1(5a + 1) + (-2b + 9) + -6a] = 0 Remove brackets around [-6 + -4b] 16a + -6 + -4b + -1[-1(5a + 1) + (-2b + 9) + -6a] = 0 Reorder the terms: 16a + -6 + -4b + -1[-1(1 + 5a) + (-2b + 9) + -6a] = 0 16a + -6 + -4b + -1[(1 * -1 + 5a * -1) + (-2b + 9) + -6a] = 0 16a + -6 + -4b + -1[(-1 + -5a) + (-2b + 9) + -6a] = 0 Reorder the terms: 16a + -6 + -4b + -1[-1 + -5a + (9 + -2b) + -6a] = 0 Remove parenthesis around (9 + -2b) 16a + -6 + -4b + -1[-1 + -5a + 9 + -2b + -6a] = 0 Reorder the terms: 16a + -6 + -4b + -1[-1 + 9 + -5a + -6a + -2b] = 0 Combine like terms: -1 + 9 = 8 16a + -6 + -4b + -1[8 + -5a + -6a + -2b] = 0 Combine like terms: -5a + -6a = -11a 16a + -6 + -4b + -1[8 + -11a + -2b] = 0 16a + -6 + -4b + [8 * -1 + -11a * -1 + -2b * -1] = 0 16a + -6 + -4b + [-8 + 11a + 2b] = 0 Reorder the terms: -6 + -8 + 16a + 11a + -4b + 2b = 0 Combine like terms: -6 + -8 = -14 -14 + 16a + 11a + -4b + 2b = 0 Combine like terms: 16a + 11a = 27a -14 + 27a + -4b + 2b = 0 Combine like terms: -4b + 2b = -2b -14 + 27a + -2b = 0 Solving -14 + 27a + -2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 27a + 14 + -2b = 0 + 14 Reorder the terms: -14 + 14 + 27a + -2b = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 27a + -2b = 0 + 14 27a + -2b = 0 + 14 Combine like terms: 0 + 14 = 14 27a + -2b = 14 Add '2b' to each side of the equation. 27a + -2b + 2b = 14 + 2b Combine like terms: -2b + 2b = 0 27a + 0 = 14 + 2b 27a = 14 + 2b Divide each side by '27'. a = 0.5185185185 + 0.07407407407b Simplifying a = 0.5185185185 + 0.07407407407b
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