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Simplifying -1(a + b) + 3(2a + 5b) = 0 (a * -1 + b * -1) + 3(2a + 5b) = 0 (-1a + -1b) + 3(2a + 5b) = 0 -1a + -1b + (2a * 3 + 5b * 3) = 0 -1a + -1b + (6a + 15b) = 0 Reorder the terms: -1a + 6a + -1b + 15b = 0 Combine like terms: -1a + 6a = 5a 5a + -1b + 15b = 0 Combine like terms: -1b + 15b = 14b 5a + 14b = 0 Solving 5a + 14b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. 5a + 14b + -14b = 0 + -14b Combine like terms: 14b + -14b = 0 5a + 0 = 0 + -14b 5a = 0 + -14b Remove the zero: 5a = -14b Divide each side by '5'. a = -2.8b Simplifying a = -2.8b
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