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Simplifying 8(6a + 7b) + -11(2b + 8b) = 0 (6a * 8 + 7b * 8) + -11(2b + 8b) = 0 (48a + 56b) + -11(2b + 8b) = 0 Combine like terms: 2b + 8b = 10b 48a + 56b + -11(10b) = 0 Remove parenthesis around (10b) 48a + 56b + -11 * 10b = 0 Multiply -11 * 10 48a + 56b + -110b = 0 Combine like terms: 56b + -110b = -54b 48a + -54b = 0 Solving 48a + -54b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '54b' to each side of the equation. 48a + -54b + 54b = 0 + 54b Combine like terms: -54b + 54b = 0 48a + 0 = 0 + 54b 48a = 0 + 54b Remove the zero: 48a = 54b Divide each side by '48'. a = 1.125b Simplifying a = 1.125b
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