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Simplifying 3(a + 8) = -5a + 8 Reorder the terms: 3(8 + a) = -5a + 8 (8 * 3 + a * 3) = -5a + 8 (24 + 3a) = -5a + 8 Reorder the terms: 24 + 3a = 8 + -5a Solving 24 + 3a = 8 + -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. 24 + 3a + 5a = 8 + -5a + 5a Combine like terms: 3a + 5a = 8a 24 + 8a = 8 + -5a + 5a Combine like terms: -5a + 5a = 0 24 + 8a = 8 + 0 24 + 8a = 8 Add '-24' to each side of the equation. 24 + -24 + 8a = 8 + -24 Combine like terms: 24 + -24 = 0 0 + 8a = 8 + -24 8a = 8 + -24 Combine like terms: 8 + -24 = -16 8a = -16 Divide each side by '8'. a = -2 Simplifying a = -2
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