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Simplifying -6b(5a + -3b) + 7(-5ab + -7b) = 0 (5a * -6b + -3b * -6b) + 7(-5ab + -7b) = 0 (-30ab + 18b2) + 7(-5ab + -7b) = 0 -30ab + 18b2 + (-5ab * 7 + -7b * 7) = 0 -30ab + 18b2 + (-35ab + -49b) = 0 Reorder the terms: -30ab + -35ab + -49b + 18b2 = 0 Combine like terms: -30ab + -35ab = -65ab -65ab + -49b + 18b2 = 0 Solving -65ab + -49b + 18b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '49b' to each side of the equation. -65ab + -49b + 49b + 18b2 = 0 + 49b Combine like terms: -49b + 49b = 0 -65ab + 0 + 18b2 = 0 + 49b -65ab + 18b2 = 0 + 49b Remove the zero: -65ab + 18b2 = 49b Add '-18b2' to each side of the equation. -65ab + 18b2 + -18b2 = 49b + -18b2 Combine like terms: 18b2 + -18b2 = 0 -65ab + 0 = 49b + -18b2 -65ab = 49b + -18b2 Divide each side by '-65b'. a = -0.7538461538 + 0.2769230769b Simplifying a = -0.7538461538 + 0.2769230769b
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