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Simplifying 0 = 6(8a + -1b) + -8(4b + -2a) 0 = (8a * 6 + -1b * 6) + -8(4b + -2a) 0 = (48a + -6b) + -8(4b + -2a) Reorder the terms: 0 = 48a + -6b + -8(-2a + 4b) 0 = 48a + -6b + (-2a * -8 + 4b * -8) 0 = 48a + -6b + (16a + -32b) Reorder the terms: 0 = 48a + 16a + -6b + -32b Combine like terms: 48a + 16a = 64a 0 = 64a + -6b + -32b Combine like terms: -6b + -32b = -38b 0 = 64a + -38b Solving 0 = 64a + -38b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-64a' to each side of the equation. 0 + -64a = 64a + -64a + -38b Remove the zero: -64a = 64a + -64a + -38b Combine like terms: 64a + -64a = 0 -64a = 0 + -38b -64a = -38b Divide each side by '-64'. a = 0.59375b Simplifying a = 0.59375b
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