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Simplifying 8(6a + 7b) + -11(2b + 8) = 0 (6a * 8 + 7b * 8) + -11(2b + 8) = 0 (48a + 56b) + -11(2b + 8) = 0 Reorder the terms: 48a + 56b + -11(8 + 2b) = 0 48a + 56b + (8 * -11 + 2b * -11) = 0 48a + 56b + (-88 + -22b) = 0 Reorder the terms: -88 + 48a + 56b + -22b = 0 Combine like terms: 56b + -22b = 34b -88 + 48a + 34b = 0 Solving -88 + 48a + 34b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '88' to each side of the equation. -88 + 48a + 88 + 34b = 0 + 88 Reorder the terms: -88 + 88 + 48a + 34b = 0 + 88 Combine like terms: -88 + 88 = 0 0 + 48a + 34b = 0 + 88 48a + 34b = 0 + 88 Combine like terms: 0 + 88 = 88 48a + 34b = 88 Add '-34b' to each side of the equation. 48a + 34b + -34b = 88 + -34b Combine like terms: 34b + -34b = 0 48a + 0 = 88 + -34b 48a = 88 + -34b Divide each side by '48'. a = 1.833333333 + -0.7083333333b Simplifying a = 1.833333333 + -0.7083333333b
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