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Simplifying 2(8a + -1b) + -8(7b + -2a) = 0 (8a * 2 + -1b * 2) + -8(7b + -2a) = 0 (16a + -2b) + -8(7b + -2a) = 0 Reorder the terms: 16a + -2b + -8(-2a + 7b) = 0 16a + -2b + (-2a * -8 + 7b * -8) = 0 16a + -2b + (16a + -56b) = 0 Reorder the terms: 16a + 16a + -2b + -56b = 0 Combine like terms: 16a + 16a = 32a 32a + -2b + -56b = 0 Combine like terms: -2b + -56b = -58b 32a + -58b = 0 Solving 32a + -58b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '58b' to each side of the equation. 32a + -58b + 58b = 0 + 58b Combine like terms: -58b + 58b = 0 32a + 0 = 0 + 58b 32a = 0 + 58b Remove the zero: 32a = 58b Divide each side by '32'. a = 1.8125b Simplifying a = 1.8125b
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