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Simplifying (4a + 5b) + -1(a + 2b) = 0 Remove parenthesis around (4a + 5b) 4a + 5b + -1(a + 2b) = 0 4a + 5b + (a * -1 + 2b * -1) = 0 4a + 5b + (-1a + -2b) = 0 Reorder the terms: 4a + -1a + 5b + -2b = 0 Combine like terms: 4a + -1a = 3a 3a + 5b + -2b = 0 Combine like terms: 5b + -2b = 3b 3a + 3b = 0 Solving 3a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 3a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 3a + 0 = 0 + -3b 3a = 0 + -3b Remove the zero: 3a = -3b Divide each side by '3'. a = -1b Simplifying a = -1b
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