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Simplifying 8(a + -2b) + -1(b + -1a) = 0 (a * 8 + -2b * 8) + -1(b + -1a) = 0 (8a + -16b) + -1(b + -1a) = 0 Reorder the terms: 8a + -16b + -1(-1a + b) = 0 8a + -16b + (-1a * -1 + b * -1) = 0 8a + -16b + (1a + -1b) = 0 Reorder the terms: 8a + 1a + -16b + -1b = 0 Combine like terms: 8a + 1a = 9a 9a + -16b + -1b = 0 Combine like terms: -16b + -1b = -17b 9a + -17b = 0 Solving 9a + -17b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '17b' to each side of the equation. 9a + -17b + 17b = 0 + 17b Combine like terms: -17b + 17b = 0 9a + 0 = 0 + 17b 9a = 0 + 17b Remove the zero: 9a = 17b Divide each side by '9'. a = 1.888888889b Simplifying a = 1.888888889b
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