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Simplifying 2(2a + -5b) + -5(2a + -1b) = 0 (2a * 2 + -5b * 2) + -5(2a + -1b) = 0 (4a + -10b) + -5(2a + -1b) = 0 4a + -10b + (2a * -5 + -1b * -5) = 0 4a + -10b + (-10a + 5b) = 0 Reorder the terms: 4a + -10a + -10b + 5b = 0 Combine like terms: 4a + -10a = -6a -6a + -10b + 5b = 0 Combine like terms: -10b + 5b = -5b -6a + -5b = 0 Solving -6a + -5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. -6a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 -6a + 0 = 0 + 5b -6a = 0 + 5b Remove the zero: -6a = 5b Divide each side by '-6'. a = -0.8333333333b Simplifying a = -0.8333333333b
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