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Simplifying -8(3 + -5a) = 40 + 8a (3 * -8 + -5a * -8) = 40 + 8a (-24 + 40a) = 40 + 8a Solving -24 + 40a = 40 + 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. -24 + 40a + -8a = 40 + 8a + -8a Combine like terms: 40a + -8a = 32a -24 + 32a = 40 + 8a + -8a Combine like terms: 8a + -8a = 0 -24 + 32a = 40 + 0 -24 + 32a = 40 Add '24' to each side of the equation. -24 + 24 + 32a = 40 + 24 Combine like terms: -24 + 24 = 0 0 + 32a = 40 + 24 32a = 40 + 24 Combine like terms: 40 + 24 = 64 32a = 64 Divide each side by '32'. a = 2 Simplifying a = 2
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