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Simplifying 6(8a + -3b) + -3(3a + 8b) = 0 (8a * 6 + -3b * 6) + -3(3a + 8b) = 0 (48a + -18b) + -3(3a + 8b) = 0 48a + -18b + (3a * -3 + 8b * -3) = 0 48a + -18b + (-9a + -24b) = 0 Reorder the terms: 48a + -9a + -18b + -24b = 0 Combine like terms: 48a + -9a = 39a 39a + -18b + -24b = 0 Combine like terms: -18b + -24b = -42b 39a + -42b = 0 Solving 39a + -42b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '42b' to each side of the equation. 39a + -42b + 42b = 0 + 42b Combine like terms: -42b + 42b = 0 39a + 0 = 0 + 42b 39a = 0 + 42b Remove the zero: 39a = 42b Divide each side by '39'. a = 1.076923077b Simplifying a = 1.076923077b
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