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Simplifying -5(4 + -3a) = 8a + 50 (4 * -5 + -3a * -5) = 8a + 50 (-20 + 15a) = 8a + 50 Reorder the terms: -20 + 15a = 50 + 8a Solving -20 + 15a = 50 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -20 + 15a + -8a = 50 + 8a + -8a Combine like terms: 15a + -8a = 7a -20 + 7a = 50 + 8a + -8a Combine like terms: 8a + -8a = 0 -20 + 7a = 50 + 0 -20 + 7a = 50 Add '20' to each side of the equation. -20 + 20 + 7a = 50 + 20 Combine like terms: -20 + 20 = 0 0 + 7a = 50 + 20 7a = 50 + 20 Combine like terms: 50 + 20 = 70 7a = 70 Divide each side by '7'. a = 10 Simplifying a = 10
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