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Simplifying (3ab2 + 4) + (12b2 + 5) + -1(6b2a + -2b2) = 0 Reorder the terms: (4 + 3ab2) + (12b2 + 5) + -1(6b2a + -2b2) = 0 Remove parenthesis around (4 + 3ab2) 4 + 3ab2 + (12b2 + 5) + -1(6b2a + -2b2) = 0 Reorder the terms: 4 + 3ab2 + (5 + 12b2) + -1(6b2a + -2b2) = 0 Remove parenthesis around (5 + 12b2) 4 + 3ab2 + 5 + 12b2 + -1(6b2a + -2b2) = 0 4 + 3ab2 + 5 + 12b2 + (6ab2 * -1 + -2b2 * -1) = 0 4 + 3ab2 + 5 + 12b2 + (-6ab2 + 2b2) = 0 Reorder the terms: 4 + 5 + 3ab2 + -6ab2 + 12b2 + 2b2 = 0 Combine like terms: 4 + 5 = 9 9 + 3ab2 + -6ab2 + 12b2 + 2b2 = 0 Combine like terms: 3ab2 + -6ab2 = -3ab2 9 + -3ab2 + 12b2 + 2b2 = 0 Combine like terms: 12b2 + 2b2 = 14b2 9 + -3ab2 + 14b2 = 0 Solving 9 + -3ab2 + 14b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -3ab2 + -9 + 14b2 = 0 + -9 Reorder the terms: 9 + -9 + -3ab2 + 14b2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -3ab2 + 14b2 = 0 + -9 -3ab2 + 14b2 = 0 + -9 Combine like terms: 0 + -9 = -9 -3ab2 + 14b2 = -9 Add '-14b2' to each side of the equation. -3ab2 + 14b2 + -14b2 = -9 + -14b2 Combine like terms: 14b2 + -14b2 = 0 -3ab2 + 0 = -9 + -14b2 -3ab2 = -9 + -14b2 Divide each side by '-3b2'. a = 3b-2 + 4.666666667 Simplifying a = 3b-2 + 4.666666667 Reorder the terms: a = 4.666666667 + 3b-2
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