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Simplifying 2(8a + -1b) + -7(2b + -6a) = 0 (8a * 2 + -1b * 2) + -7(2b + -6a) = 0 (16a + -2b) + -7(2b + -6a) = 0 Reorder the terms: 16a + -2b + -7(-6a + 2b) = 0 16a + -2b + (-6a * -7 + 2b * -7) = 0 16a + -2b + (42a + -14b) = 0 Reorder the terms: 16a + 42a + -2b + -14b = 0 Combine like terms: 16a + 42a = 58a 58a + -2b + -14b = 0 Combine like terms: -2b + -14b = -16b 58a + -16b = 0 Solving 58a + -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. 58a + -16b + 16b = 0 + 16b Combine like terms: -16b + 16b = 0 58a + 0 = 0 + 16b 58a = 0 + 16b Remove the zero: 58a = 16b Divide each side by '58'. a = 0.275862069b Simplifying a = 0.275862069b
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