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Simplifying 13(3a + 4b) + -9(6a + 2b) = 0 (3a * 13 + 4b * 13) + -9(6a + 2b) = 0 (39a + 52b) + -9(6a + 2b) = 0 39a + 52b + (6a * -9 + 2b * -9) = 0 39a + 52b + (-54a + -18b) = 0 Reorder the terms: 39a + -54a + 52b + -18b = 0 Combine like terms: 39a + -54a = -15a -15a + 52b + -18b = 0 Combine like terms: 52b + -18b = 34b -15a + 34b = 0 Solving -15a + 34b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-34b' to each side of the equation. -15a + 34b + -34b = 0 + -34b Combine like terms: 34b + -34b = 0 -15a + 0 = 0 + -34b -15a = 0 + -34b Remove the zero: -15a = -34b Divide each side by '-15'. a = 2.266666667b Simplifying a = 2.266666667b
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