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Simplifying 2a + 3b + -5(5a + -2b) = 0 2a + 3b + (5a * -5 + -2b * -5) = 0 2a + 3b + (-25a + 10b) = 0 Reorder the terms: 2a + -25a + 3b + 10b = 0 Combine like terms: 2a + -25a = -23a -23a + 3b + 10b = 0 Combine like terms: 3b + 10b = 13b -23a + 13b = 0 Solving -23a + 13b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13b' to each side of the equation. -23a + 13b + -13b = 0 + -13b Combine like terms: 13b + -13b = 0 -23a + 0 = 0 + -13b -23a = 0 + -13b Remove the zero: -23a = -13b Divide each side by '-23'. a = 0.5652173913b Simplifying a = 0.5652173913b
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