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Simplifying 8(3a + -1) = -5a + 50 Reorder the terms: 8(-1 + 3a) = -5a + 50 (-1 * 8 + 3a * 8) = -5a + 50 (-8 + 24a) = -5a + 50 Reorder the terms: -8 + 24a = 50 + -5a Solving -8 + 24a = 50 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -8 + 24a + 5a = 50 + -5a + 5a Combine like terms: 24a + 5a = 29a -8 + 29a = 50 + -5a + 5a Combine like terms: -5a + 5a = 0 -8 + 29a = 50 + 0 -8 + 29a = 50 Add '8' to each side of the equation. -8 + 8 + 29a = 50 + 8 Combine like terms: -8 + 8 = 0 0 + 29a = 50 + 8 29a = 50 + 8 Combine like terms: 50 + 8 = 58 29a = 58 Divide each side by '29'. a = 2 Simplifying a = 2
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