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Simplifying (3a + -4b) + -1(7a + 9b) = 0 Remove parenthesis around (3a + -4b) 3a + -4b + -1(7a + 9b) = 0 3a + -4b + (7a * -1 + 9b * -1) = 0 3a + -4b + (-7a + -9b) = 0 Reorder the terms: 3a + -7a + -4b + -9b = 0 Combine like terms: 3a + -7a = -4a -4a + -4b + -9b = 0 Combine like terms: -4b + -9b = -13b -4a + -13b = 0 Solving -4a + -13b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13b' to each side of the equation. -4a + -13b + 13b = 0 + 13b Combine like terms: -13b + 13b = 0 -4a + 0 = 0 + 13b -4a = 0 + 13b Remove the zero: -4a = 13b Divide each side by '-4'. a = -3.25b Simplifying a = -3.25b
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