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Simplifying (3a + -4b + 6) + -1(3a + 2b + 6) = 0 Reorder the terms: (6 + 3a + -4b) + -1(3a + 2b + 6) = 0 Remove parenthesis around (6 + 3a + -4b) 6 + 3a + -4b + -1(3a + 2b + 6) = 0 Reorder the terms: 6 + 3a + -4b + -1(6 + 3a + 2b) = 0 6 + 3a + -4b + (6 * -1 + 3a * -1 + 2b * -1) = 0 6 + 3a + -4b + (-6 + -3a + -2b) = 0 Reorder the terms: 6 + -6 + 3a + -3a + -4b + -2b = 0 Combine like terms: 6 + -6 = 0 0 + 3a + -3a + -4b + -2b = 0 3a + -3a + -4b + -2b = 0 Combine like terms: 3a + -3a = 0 0 + -4b + -2b = 0 -4b + -2b = 0 Combine like terms: -4b + -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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