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