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Simplifying (3a + 4b) + -1(5a + -7b) = 0 Remove parenthesis around (3a + 4b) 3a + 4b + -1(5a + -7b) = 0 3a + 4b + (5a * -1 + -7b * -1) = 0 3a + 4b + (-5a + 7b) = 0 Reorder the terms: 3a + -5a + 4b + 7b = 0 Combine like terms: 3a + -5a = -2a -2a + 4b + 7b = 0 Combine like terms: 4b + 7b = 11b -2a + 11b = 0 Solving -2a + 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. -2a + 11b + -11b = 0 + -11b Combine like terms: 11b + -11b = 0 -2a + 0 = 0 + -11b -2a = 0 + -11b Remove the zero: -2a = -11b Divide each side by '-2'. a = 5.5b Simplifying a = 5.5b
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