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Simplifying (5a + 2b) + -1(2a + -4b) = 0 Remove parenthesis around (5a + 2b) 5a + 2b + -1(2a + -4b) = 0 5a + 2b + (2a * -1 + -4b * -1) = 0 5a + 2b + (-2a + 4b) = 0 Reorder the terms: 5a + -2a + 2b + 4b = 0 Combine like terms: 5a + -2a = 3a 3a + 2b + 4b = 0 Combine like terms: 2b + 4b = 6b 3a + 6b = 0 Solving 3a + 6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. 3a + 6b + -6b = 0 + -6b Combine like terms: 6b + -6b = 0 3a + 0 = 0 + -6b 3a = 0 + -6b Remove the zero: 3a = -6b Divide each side by '3'. a = -2b Simplifying a = -2b
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