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Simplifying 6(a + -2b) + -3(2a + b) = 0 (a * 6 + -2b * 6) + -3(2a + b) = 0 (6a + -12b) + -3(2a + b) = 0 6a + -12b + (2a * -3 + b * -3) = 0 6a + -12b + (-6a + -3b) = 0 Reorder the terms: 6a + -6a + -12b + -3b = 0 Combine like terms: 6a + -6a = 0 0 + -12b + -3b = 0 -12b + -3b = 0 Combine like terms: -12b + -3b = -15b -15b = 0 Solving -15b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Divide each side by '-15'. b = 0 Simplifying b = 0
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