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Simplifying 6a + -3b + 2(b + 5a) = 0 Reorder the terms: 6a + -3b + 2(5a + b) = 0 6a + -3b + (5a * 2 + b * 2) = 0 6a + -3b + (10a + 2b) = 0 Reorder the terms: 6a + 10a + -3b + 2b = 0 Combine like terms: 6a + 10a = 16a 16a + -3b + 2b = 0 Combine like terms: -3b + 2b = -1b 16a + -1b = 0 Solving 16a + -1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 16a + -1b + b = 0 + b Combine like terms: -1b + b = 0 16a + 0 = 0 + b 16a = 0 + b Remove the zero: 16a = b Divide each side by '16'. a = 0.0625b Simplifying a = 0.0625b
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