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Simplifying 8(6a + 5b) + -11(2b + 8a) = 0 (6a * 8 + 5b * 8) + -11(2b + 8a) = 0 (48a + 40b) + -11(2b + 8a) = 0 Reorder the terms: 48a + 40b + -11(8a + 2b) = 0 48a + 40b + (8a * -11 + 2b * -11) = 0 48a + 40b + (-88a + -22b) = 0 Reorder the terms: 48a + -88a + 40b + -22b = 0 Combine like terms: 48a + -88a = -40a -40a + 40b + -22b = 0 Combine like terms: 40b + -22b = 18b -40a + 18b = 0 Solving -40a + 18b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18b' to each side of the equation. -40a + 18b + -18b = 0 + -18b Combine like terms: 18b + -18b = 0 -40a + 0 = 0 + -18b -40a = 0 + -18b Remove the zero: -40a = -18b Divide each side by '-40'. a = 0.45b Simplifying a = 0.45b
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