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