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Simplifying -6b(7a + -3b) + 7(-5ab + -7b2) = 0 (7a * -6b + -3b * -6b) + 7(-5ab + -7b2) = 0 (-42ab + 18b2) + 7(-5ab + -7b2) = 0 -42ab + 18b2 + (-5ab * 7 + -7b2 * 7) = 0 -42ab + 18b2 + (-35ab + -49b2) = 0 Reorder the terms: -42ab + -35ab + 18b2 + -49b2 = 0 Combine like terms: -42ab + -35ab = -77ab -77ab + 18b2 + -49b2 = 0 Combine like terms: 18b2 + -49b2 = -31b2 -77ab + -31b2 = 0 Solving -77ab + -31b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '31b2' to each side of the equation. -77ab + -31b2 + 31b2 = 0 + 31b2 Combine like terms: -31b2 + 31b2 = 0 -77ab + 0 = 0 + 31b2 -77ab = 0 + 31b2 Remove the zero: -77ab = 31b2 Divide each side by '-77b'. a = -0.4025974026b Simplifying a = -0.4025974026b
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