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Simplifying -5(1 + a) = -8a + 5 (1 * -5 + a * -5) = -8a + 5 (-5 + -5a) = -8a + 5 Reorder the terms: -5 + -5a = 5 + -8a Solving -5 + -5a = 5 + -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. -5 + -5a + 8a = 5 + -8a + 8a Combine like terms: -5a + 8a = 3a -5 + 3a = 5 + -8a + 8a Combine like terms: -8a + 8a = 0 -5 + 3a = 5 + 0 -5 + 3a = 5 Add '5' to each side of the equation. -5 + 5 + 3a = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 3a = 5 + 5 3a = 5 + 5 Combine like terms: 5 + 5 = 10 3a = 10 Divide each side by '3'. a = 3.333333333 Simplifying a = 3.333333333
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