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Simplifying 8(3a + -1b) + -8(2b + -7a) = 0 (3a * 8 + -1b * 8) + -8(2b + -7a) = 0 (24a + -8b) + -8(2b + -7a) = 0 Reorder the terms: 24a + -8b + -8(-7a + 2b) = 0 24a + -8b + (-7a * -8 + 2b * -8) = 0 24a + -8b + (56a + -16b) = 0 Reorder the terms: 24a + 56a + -8b + -16b = 0 Combine like terms: 24a + 56a = 80a 80a + -8b + -16b = 0 Combine like terms: -8b + -16b = -24b 80a + -24b = 0 Solving 80a + -24b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24b' to each side of the equation. 80a + -24b + 24b = 0 + 24b Combine like terms: -24b + 24b = 0 80a + 0 = 0 + 24b 80a = 0 + 24b Remove the zero: 80a = 24b Divide each side by '80'. a = 0.3b Simplifying a = 0.3b
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