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Simplifying -3(8 + 3a) = -30 + -8a (8 * -3 + 3a * -3) = -30 + -8a (-24 + -9a) = -30 + -8a Solving -24 + -9a = -30 + -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 + -9a + 8a = -30 + -8a + 8a Combine like terms: -9a + 8a = -1a -24 + -1a = -30 + -8a + 8a Combine like terms: -8a + 8a = 0 -24 + -1a = -30 + 0 -24 + -1a = -30 Add '24' to each side of the equation. -24 + 24 + -1a = -30 + 24 Combine like terms: -24 + 24 = 0 0 + -1a = -30 + 24 -1a = -30 + 24 Combine like terms: -30 + 24 = -6 -1a = -6 Divide each side by '-1'. a = 6 Simplifying a = 6
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