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