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Simplifying 5(a + 8) = -8 + -1a Reorder the terms: 5(8 + a) = -8 + -1a (8 * 5 + a * 5) = -8 + -1a (40 + 5a) = -8 + -1a Solving 40 + 5a = -8 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 40 + 5a + a = -8 + -1a + a Combine like terms: 5a + a = 6a 40 + 6a = -8 + -1a + a Combine like terms: -1a + a = 0 40 + 6a = -8 + 0 40 + 6a = -8 Add '-40' to each side of the equation. 40 + -40 + 6a = -8 + -40 Combine like terms: 40 + -40 = 0 0 + 6a = -8 + -40 6a = -8 + -40 Combine like terms: -8 + -40 = -48 6a = -48 Divide each side by '6'. a = -8 Simplifying a = -8
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