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Simplifying -8(-4 + -5a) = 32 + -5a (-4 * -8 + -5a * -8) = 32 + -5a (32 + 40a) = 32 + -5a Add '-32' to each side of the equation. 32 + -32 + 40a = 32 + -32 + -5a Combine like terms: 32 + -32 = 0 0 + 40a = 32 + -32 + -5a 40a = 32 + -32 + -5a Combine like terms: 32 + -32 = 0 40a = 0 + -5a 40a = -5a Solving 40a = -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. 40a + 5a = -5a + 5a Combine like terms: 40a + 5a = 45a 45a = -5a + 5a Combine like terms: -5a + 5a = 0 45a = 0 Divide each side by '45'. a = 0 Simplifying a = 0
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