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Simplifying 7b + (-1(6a + 5(6a + -3b)) + -2) = 0 7b + (-1(6a + (6a * 5 + -3b * 5)) + -2) = 0 7b + (-1(6a + (30a + -15b)) + -2) = 0 Combine like terms: 6a + 30a = 36a 7b + (-1(36a + -15b) + -2) = 0 7b + ((36a * -1 + -15b * -1) + -2) = 0 7b + ((-36a + 15b) + -2) = 0 Reorder the terms: 7b + (-2 + -36a + 15b) = 0 Remove parenthesis around (-2 + -36a + 15b) 7b + -2 + -36a + 15b = 0 Reorder the terms: -2 + -36a + 7b + 15b = 0 Combine like terms: 7b + 15b = 22b -2 + -36a + 22b = 0 Solving -2 + -36a + 22b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -36a + 2 + 22b = 0 + 2 Reorder the terms: -2 + 2 + -36a + 22b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -36a + 22b = 0 + 2 -36a + 22b = 0 + 2 Combine like terms: 0 + 2 = 2 -36a + 22b = 2 Add '-22b' to each side of the equation. -36a + 22b + -22b = 2 + -22b Combine like terms: 22b + -22b = 0 -36a + 0 = 2 + -22b -36a = 2 + -22b Divide each side by '-36'. a = -0.05555555556 + 0.6111111111b Simplifying a = -0.05555555556 + 0.6111111111b
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