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Simplifying (5a + -8b) + -1(10a + -2b) = 0 Remove parenthesis around (5a + -8b) 5a + -8b + -1(10a + -2b) = 0 5a + -8b + (10a * -1 + -2b * -1) = 0 5a + -8b + (-10a + 2b) = 0 Reorder the terms: 5a + -10a + -8b + 2b = 0 Combine like terms: 5a + -10a = -5a -5a + -8b + 2b = 0 Combine like terms: -8b + 2b = -6b -5a + -6b = 0 Solving -5a + -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. -5a + -6b + 6b = 0 + 6b Combine like terms: -6b + 6b = 0 -5a + 0 = 0 + 6b -5a = 0 + 6b Remove the zero: -5a = 6b Divide each side by '-5'. a = -1.2b Simplifying a = -1.2b
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