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Simplifying 5a + -3b + -1(-6b + 4a) + -1(-1b) = 0 Reorder the terms: 5a + -3b + -1(4a + -6b) + -1(-1b) = 0 5a + -3b + (4a * -1 + -6b * -1) + -1(-1b) = 0 5a + -3b + (-4a + 6b) + -1(-1b) = 0 Remove parenthesis around (-1b) 5a + -3b + -4a + 6b + -1 * -1b = 0 Multiply -1 * -1 5a + -3b + -4a + 6b + 1b = 0 Reorder the terms: 5a + -4a + -3b + 6b + 1b = 0 Combine like terms: 5a + -4a = 1a 1a + -3b + 6b + 1b = 0 Combine like terms: -3b + 6b = 3b 1a + 3b + 1b = 0 Combine like terms: 3b + 1b = 4b 1a + 4b = 0 Solving 1a + 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. 1a + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 1a + 0 = 0 + -4b 1a = 0 + -4b Remove the zero: 1a = -4b Divide each side by '1'. a = -4b Simplifying a = -4b
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