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Simplifying 8(6a + 7b) + -11(2b + -1a) = 0 (6a * 8 + 7b * 8) + -11(2b + -1a) = 0 (48a + 56b) + -11(2b + -1a) = 0 Reorder the terms: 48a + 56b + -11(-1a + 2b) = 0 48a + 56b + (-1a * -11 + 2b * -11) = 0 48a + 56b + (11a + -22b) = 0 Reorder the terms: 48a + 11a + 56b + -22b = 0 Combine like terms: 48a + 11a = 59a 59a + 56b + -22b = 0 Combine like terms: 56b + -22b = 34b 59a + 34b = 0 Solving 59a + 34b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-34b' to each side of the equation. 59a + 34b + -34b = 0 + -34b Combine like terms: 34b + -34b = 0 59a + 0 = 0 + -34b 59a = 0 + -34b Remove the zero: 59a = -34b Divide each side by '59'. a = -0.5762711864b Simplifying a = -0.5762711864b
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