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Simplifying (2a + 3b) + -1(5a + -8b) = 0 Remove parenthesis around (2a + 3b) 2a + 3b + -1(5a + -8b) = 0 2a + 3b + (5a * -1 + -8b * -1) = 0 2a + 3b + (-5a + 8b) = 0 Reorder the terms: 2a + -5a + 3b + 8b = 0 Combine like terms: 2a + -5a = -3a -3a + 3b + 8b = 0 Combine like terms: 3b + 8b = 11b -3a + 11b = 0 Solving -3a + 11b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11b' to each side of the equation. -3a + 11b + -11b = 0 + -11b Combine like terms: 11b + -11b = 0 -3a + 0 = 0 + -11b -3a = 0 + -11b Remove the zero: -3a = -11b Divide each side by '-3'. a = 3.666666667b Simplifying a = 3.666666667b
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