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Simplifying 6b + b + b + b + 2a + -4b = 0 Reorder the terms: 2a + 6b + b + b + b + -4b = 0 Combine like terms: 6b + b = 7b 2a + 7b + b + b + -4b = 0 Combine like terms: 7b + b = 8b 2a + 8b + b + -4b = 0 Combine like terms: 8b + b = 9b 2a + 9b + -4b = 0 Combine like terms: 9b + -4b = 5b 2a + 5b = 0 Solving 2a + 5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 2a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 2a + 0 = 0 + -5b 2a = 0 + -5b Remove the zero: 2a = -5b Divide each side by '2'. a = -2.5b Simplifying a = -2.5b
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