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Simplifying 6a + -1(5b + 3a) + (8b + -6a) = 0 Reorder the terms: 6a + -1(3a + 5b) + (8b + -6a) = 0 6a + (3a * -1 + 5b * -1) + (8b + -6a) = 0 6a + (-3a + -5b) + (8b + -6a) = 0 Reorder the terms: 6a + -3a + -5b + (-6a + 8b) = 0 Remove parenthesis around (-6a + 8b) 6a + -3a + -5b + -6a + 8b = 0 Reorder the terms: 6a + -3a + -6a + -5b + 8b = 0 Combine like terms: 6a + -3a = 3a 3a + -6a + -5b + 8b = 0 Combine like terms: 3a + -6a = -3a -3a + -5b + 8b = 0 Combine like terms: -5b + 8b = 3b -3a + 3b = 0 Solving -3a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. -3a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 -3a + 0 = 0 + -3b -3a = 0 + -3b Remove the zero: -3a = -3b Divide each side by '-3'. a = b Simplifying a = b
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