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Simplifying 8(6a + 7b) + -11(2b + 8a) = 0 (6a * 8 + 7b * 8) + -11(2b + 8a) = 0 (48a + 56b) + -11(2b + 8a) = 0 Reorder the terms: 48a + 56b + -11(8a + 2b) = 0 48a + 56b + (8a * -11 + 2b * -11) = 0 48a + 56b + (-88a + -22b) = 0 Reorder the terms: 48a + -88a + 56b + -22b = 0 Combine like terms: 48a + -88a = -40a -40a + 56b + -22b = 0 Combine like terms: 56b + -22b = 34b -40a + 34b = 0 Solving -40a + 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. -40a + 34b + -34b = 0 + -34b Combine like terms: 34b + -34b = 0 -40a + 0 = 0 + -34b -40a = 0 + -34b Remove the zero: -40a = -34b Divide each side by '-40'. a = 0.85b Simplifying a = 0.85b
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