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