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Simplifying 2(-5a + 1) = -5(-10 + 8a) + -5a Reorder the terms: 2(1 + -5a) = -5(-10 + 8a) + -5a (1 * 2 + -5a * 2) = -5(-10 + 8a) + -5a (2 + -10a) = -5(-10 + 8a) + -5a 2 + -10a = (-10 * -5 + 8a * -5) + -5a 2 + -10a = (50 + -40a) + -5a Combine like terms: -40a + -5a = -45a 2 + -10a = 50 + -45a Solving 2 + -10a = 50 + -45a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '45a' to each side of the equation. 2 + -10a + 45a = 50 + -45a + 45a Combine like terms: -10a + 45a = 35a 2 + 35a = 50 + -45a + 45a Combine like terms: -45a + 45a = 0 2 + 35a = 50 + 0 2 + 35a = 50 Add '-2' to each side of the equation. 2 + -2 + 35a = 50 + -2 Combine like terms: 2 + -2 = 0 0 + 35a = 50 + -2 35a = 50 + -2 Combine like terms: 50 + -2 = 48 35a = 48 Divide each side by '35'. a = 1.371428571 Simplifying a = 1.371428571
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