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Simplifying 9b + (-1(6a + 2(4a + -5b)) + -7) = 0 9b + (-1(6a + (4a * 2 + -5b * 2)) + -7) = 0 9b + (-1(6a + (8a + -10b)) + -7) = 0 Combine like terms: 6a + 8a = 14a 9b + (-1(14a + -10b) + -7) = 0 9b + ((14a * -1 + -10b * -1) + -7) = 0 9b + ((-14a + 10b) + -7) = 0 Reorder the terms: 9b + (-7 + -14a + 10b) = 0 Remove parenthesis around (-7 + -14a + 10b) 9b + -7 + -14a + 10b = 0 Reorder the terms: -7 + -14a + 9b + 10b = 0 Combine like terms: 9b + 10b = 19b -7 + -14a + 19b = 0 Solving -7 + -14a + 19b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -14a + 7 + 19b = 0 + 7 Reorder the terms: -7 + 7 + -14a + 19b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -14a + 19b = 0 + 7 -14a + 19b = 0 + 7 Combine like terms: 0 + 7 = 7 -14a + 19b = 7 Add '-19b' to each side of the equation. -14a + 19b + -19b = 7 + -19b Combine like terms: 19b + -19b = 0 -14a + 0 = 7 + -19b -14a = 7 + -19b Divide each side by '-14'. a = -0.5 + 1.357142857b Simplifying a = -0.5 + 1.357142857b
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