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Simplifying 6(9a + -3b) + -8(2a + 4b) = 0 (9a * 6 + -3b * 6) + -8(2a + 4b) = 0 (54a + -18b) + -8(2a + 4b) = 0 54a + -18b + (2a * -8 + 4b * -8) = 0 54a + -18b + (-16a + -32b) = 0 Reorder the terms: 54a + -16a + -18b + -32b = 0 Combine like terms: 54a + -16a = 38a 38a + -18b + -32b = 0 Combine like terms: -18b + -32b = -50b 38a + -50b = 0 Solving 38a + -50b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '50b' to each side of the equation. 38a + -50b + 50b = 0 + 50b Combine like terms: -50b + 50b = 0 38a + 0 = 0 + 50b 38a = 0 + 50b Remove the zero: 38a = 50b Divide each side by '38'. a = 1.315789474b Simplifying a = 1.315789474b
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