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Simplifying (a + 2b) + -1(5a + 4b) = 0 Remove parenthesis around (a + 2b) a + 2b + -1(5a + 4b) = 0 a + 2b + (5a * -1 + 4b * -1) = 0 a + 2b + (-5a + -4b) = 0 Reorder the terms: a + -5a + 2b + -4b = 0 Combine like terms: a + -5a = -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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