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Simplifying -5(4 + -5a) = 19a + 40 (4 * -5 + -5a * -5) = 19a + 40 (-20 + 25a) = 19a + 40 Reorder the terms: -20 + 25a = 40 + 19a Solving -20 + 25a = 40 + 19a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19a' to each side of the equation. -20 + 25a + -19a = 40 + 19a + -19a Combine like terms: 25a + -19a = 6a -20 + 6a = 40 + 19a + -19a Combine like terms: 19a + -19a = 0 -20 + 6a = 40 + 0 -20 + 6a = 40 Add '20' to each side of the equation. -20 + 20 + 6a = 40 + 20 Combine like terms: -20 + 20 = 0 0 + 6a = 40 + 20 6a = 40 + 20 Combine like terms: 40 + 20 = 60 6a = 60 Divide each side by '6'. a = 10 Simplifying a = 10
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