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Simplifying (5a + -2b) + -1(a + -4b) = 0 Remove parenthesis around (5a + -2b) 5a + -2b + -1(a + -4b) = 0 5a + -2b + (a * -1 + -4b * -1) = 0 5a + -2b + (-1a + 4b) = 0 Reorder the terms: 5a + -1a + -2b + 4b = 0 Combine like terms: 5a + -1a = 4a 4a + -2b + 4b = 0 Combine like terms: -2b + 4b = 2b 4a + 2b = 0 Solving 4a + 2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 4a + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 4a + 0 = 0 + -2b 4a = 0 + -2b Remove the zero: 4a = -2b Divide each side by '4'. a = -0.5b Simplifying a = -0.5b
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