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Simplifying (2a + -3b) + -1(5a + -7b) = 0 Remove parenthesis around (2a + -3b) 2a + -3b + -1(5a + -7b) = 0 2a + -3b + (5a * -1 + -7b * -1) = 0 2a + -3b + (-5a + 7b) = 0 Reorder the terms: 2a + -5a + -3b + 7b = 0 Combine like terms: 2a + -5a = -3a -3a + -3b + 7b = 0 Combine like terms: -3b + 7b = 4b -3a + 4b = 0 Solving -3a + 4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. -3a + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 -3a + 0 = 0 + -4b -3a = 0 + -4b Remove the zero: -3a = -4b Divide each side by '-3'. a = 1.333333333b Simplifying a = 1.333333333b
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