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Simplifying -8(3 + -6a) = 3a + 21 (3 * -8 + -6a * -8) = 3a + 21 (-24 + 48a) = 3a + 21 Reorder the terms: -24 + 48a = 21 + 3a Solving -24 + 48a = 21 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -24 + 48a + -3a = 21 + 3a + -3a Combine like terms: 48a + -3a = 45a -24 + 45a = 21 + 3a + -3a Combine like terms: 3a + -3a = 0 -24 + 45a = 21 + 0 -24 + 45a = 21 Add '24' to each side of the equation. -24 + 24 + 45a = 21 + 24 Combine like terms: -24 + 24 = 0 0 + 45a = 21 + 24 45a = 21 + 24 Combine like terms: 21 + 24 = 45 45a = 45 Divide each side by '45'. a = 1 Simplifying a = 1
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