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