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Simplifying -6(a + 5b) + -3(7b + -1a) = 0 (a * -6 + 5b * -6) + -3(7b + -1a) = 0 (-6a + -30b) + -3(7b + -1a) = 0 Reorder the terms: -6a + -30b + -3(-1a + 7b) = 0 -6a + -30b + (-1a * -3 + 7b * -3) = 0 -6a + -30b + (3a + -21b) = 0 Reorder the terms: -6a + 3a + -30b + -21b = 0 Combine like terms: -6a + 3a = -3a -3a + -30b + -21b = 0 Combine like terms: -30b + -21b = -51b -3a + -51b = 0 Solving -3a + -51b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '51b' to each side of the equation. -3a + -51b + 51b = 0 + 51b Combine like terms: -51b + 51b = 0 -3a + 0 = 0 + 51b -3a = 0 + 51b Remove the zero: -3a = 51b Divide each side by '-3'. a = -17b Simplifying a = -17b
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