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Simplifying (3a + -2b) + -1(5a + -8b) = 0 Remove parenthesis around (3a + -2b) 3a + -2b + -1(5a + -8b) = 0 3a + -2b + (5a * -1 + -8b * -1) = 0 3a + -2b + (-5a + 8b) = 0 Reorder the terms: 3a + -5a + -2b + 8b = 0 Combine like terms: 3a + -5a = -2a -2a + -2b + 8b = 0 Combine like terms: -2b + 8b = 6b -2a + 6b = 0 Solving -2a + 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. -2a + 6b + -6b = 0 + -6b Combine like terms: 6b + -6b = 0 -2a + 0 = 0 + -6b -2a = 0 + -6b Remove the zero: -2a = -6b Divide each side by '-2'. a = 3b Simplifying a = 3b
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