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Simplifying 2(a + -2b) * 2 + -1(a + b) * 2 = 0 Reorder the terms for easier multiplication: 2 * 2(a + -2b) + -1(a + b) * 2 = 0 Multiply 2 * 2 4(a + -2b) + -1(a + b) * 2 = 0 (a * 4 + -2b * 4) + -1(a + b) * 2 = 0 (4a + -8b) + -1(a + b) * 2 = 0 Reorder the terms for easier multiplication: 4a + -8b + -1 * 2(a + b) = 0 Multiply -1 * 2 4a + -8b + -2(a + b) = 0 4a + -8b + (a * -2 + b * -2) = 0 4a + -8b + (-2a + -2b) = 0 Reorder the terms: 4a + -2a + -8b + -2b = 0 Combine like terms: 4a + -2a = 2a 2a + -8b + -2b = 0 Combine like terms: -8b + -2b = -10b 2a + -10b = 0 Solving 2a + -10b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10b' to each side of the equation. 2a + -10b + 10b = 0 + 10b Combine like terms: -10b + 10b = 0 2a + 0 = 0 + 10b 2a = 0 + 10b Remove the zero: 2a = 10b Divide each side by '2'. a = 5b Simplifying a = 5b
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