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Simplifying (8a + -3b) + -1(-1a + b) = 0 Remove parenthesis around (8a + -3b) 8a + -3b + -1(-1a + b) = 0 8a + -3b + (-1a * -1 + b * -1) = 0 8a + -3b + (1a + -1b) = 0 Reorder the terms: 8a + 1a + -3b + -1b = 0 Combine like terms: 8a + 1a = 9a 9a + -3b + -1b = 0 Combine like terms: -3b + -1b = -4b 9a + -4b = 0 Solving 9a + -4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 9a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 9a + 0 = 0 + 4b 9a = 0 + 4b Remove the zero: 9a = 4b Divide each side by '9'. a = 0.4444444444b Simplifying a = 0.4444444444b
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