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Simplifying (a + -6b) + -1(4a + 8b) = 0 Remove parenthesis around (a + -6b) a + -6b + -1(4a + 8b) = 0 a + -6b + (4a * -1 + 8b * -1) = 0 a + -6b + (-4a + -8b) = 0 Reorder the terms: a + -4a + -6b + -8b = 0 Combine like terms: a + -4a = -3a -3a + -6b + -8b = 0 Combine like terms: -6b + -8b = -14b -3a + -14b = 0 Solving -3a + -14b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14b' to each side of the equation. -3a + -14b + 14b = 0 + 14b Combine like terms: -14b + 14b = 0 -3a + 0 = 0 + 14b -3a = 0 + 14b Remove the zero: -3a = 14b Divide each side by '-3'. a = -4.666666667b Simplifying a = -4.666666667b
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