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Simplifying (-21a + 17b) + -1(-13a + -9b) = 0 Remove parenthesis around (-21a + 17b) -21a + 17b + -1(-13a + -9b) = 0 -21a + 17b + (-13a * -1 + -9b * -1) = 0 -21a + 17b + (13a + 9b) = 0 Reorder the terms: -21a + 13a + 17b + 9b = 0 Combine like terms: -21a + 13a = -8a -8a + 17b + 9b = 0 Combine like terms: 17b + 9b = 26b -8a + 26b = 0 Solving -8a + 26b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-26b' to each side of the equation. -8a + 26b + -26b = 0 + -26b Combine like terms: 26b + -26b = 0 -8a + 0 = 0 + -26b -8a = 0 + -26b Remove the zero: -8a = -26b Divide each side by '-8'. a = 3.25b Simplifying a = 3.25b
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