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Simplifying 7(4a + -1b) + -3(3b + -8a) = 0 (4a * 7 + -1b * 7) + -3(3b + -8a) = 0 (28a + -7b) + -3(3b + -8a) = 0 Reorder the terms: 28a + -7b + -3(-8a + 3b) = 0 28a + -7b + (-8a * -3 + 3b * -3) = 0 28a + -7b + (24a + -9b) = 0 Reorder the terms: 28a + 24a + -7b + -9b = 0 Combine like terms: 28a + 24a = 52a 52a + -7b + -9b = 0 Combine like terms: -7b + -9b = -16b 52a + -16b = 0 Solving 52a + -16b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16b' to each side of the equation. 52a + -16b + 16b = 0 + 16b Combine like terms: -16b + 16b = 0 52a + 0 = 0 + 16b 52a = 0 + 16b Remove the zero: 52a = 16b Divide each side by '52'. a = 0.3076923077b Simplifying a = 0.3076923077b
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