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Simplifying (2a + 4b) + (-6b + -1a) + (-1b + 7a) = 0 Remove parenthesis around (2a + 4b) 2a + 4b + (-6b + -1a) + (-1b + 7a) = 0 Reorder the terms: 2a + 4b + (-1a + -6b) + (-1b + 7a) = 0 Remove parenthesis around (-1a + -6b) 2a + 4b + -1a + -6b + (-1b + 7a) = 0 Reorder the terms: 2a + 4b + -1a + -6b + (7a + -1b) = 0 Remove parenthesis around (7a + -1b) 2a + 4b + -1a + -6b + 7a + -1b = 0 Reorder the terms: 2a + -1a + 7a + 4b + -6b + -1b = 0 Combine like terms: 2a + -1a = 1a 1a + 7a + 4b + -6b + -1b = 0 Combine like terms: 1a + 7a = 8a 8a + 4b + -6b + -1b = 0 Combine like terms: 4b + -6b = -2b 8a + -2b + -1b = 0 Combine like terms: -2b + -1b = -3b 8a + -3b = 0 Solving 8a + -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. 8a + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 8a + 0 = 0 + 3b 8a = 0 + 3b Remove the zero: 8a = 3b Divide each side by '8'. a = 0.375b Simplifying a = 0.375b
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