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Simplifying -4(9a + -1b) + -1(a + -7b) = 0 (9a * -4 + -1b * -4) + -1(a + -7b) = 0 (-36a + 4b) + -1(a + -7b) = 0 -36a + 4b + (a * -1 + -7b * -1) = 0 -36a + 4b + (-1a + 7b) = 0 Reorder the terms: -36a + -1a + 4b + 7b = 0 Combine like terms: -36a + -1a = -37a -37a + 4b + 7b = 0 Combine like terms: 4b + 7b = 11b -37a + 11b = 0 Solving -37a + 11b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11b' to each side of the equation. -37a + 11b + -11b = 0 + -11b Combine like terms: 11b + -11b = 0 -37a + 0 = 0 + -11b -37a = 0 + -11b Remove the zero: -37a = -11b Divide each side by '-37'. a = 0.2972972973b Simplifying a = 0.2972972973b
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