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Simplifying (-6a + -1b) + -1(4b + a) = 0 Remove parenthesis around (-6a + -1b) -6a + -1b + -1(4b + a) = 0 Reorder the terms: -6a + -1b + -1(a + 4b) = 0 -6a + -1b + (a * -1 + 4b * -1) = 0 -6a + -1b + (-1a + -4b) = 0 Reorder the terms: -6a + -1a + -1b + -4b = 0 Combine like terms: -6a + -1a = -7a -7a + -1b + -4b = 0 Combine like terms: -1b + -4b = -5b -7a + -5b = 0 Solving -7a + -5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. -7a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 -7a + 0 = 0 + 5b -7a = 0 + 5b Remove the zero: -7a = 5b Divide each side by '-7'. a = -0.7142857143b Simplifying a = -0.7142857143b
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