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