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Simplifying 3(4 + 6a) + 6a = -36 + 8a (4 * 3 + 6a * 3) + 6a = -36 + 8a (12 + 18a) + 6a = -36 + 8a Combine like terms: 18a + 6a = 24a 12 + 24a = -36 + 8a Solving 12 + 24a = -36 + 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. 12 + 24a + -8a = -36 + 8a + -8a Combine like terms: 24a + -8a = 16a 12 + 16a = -36 + 8a + -8a Combine like terms: 8a + -8a = 0 12 + 16a = -36 + 0 12 + 16a = -36 Add '-12' to each side of the equation. 12 + -12 + 16a = -36 + -12 Combine like terms: 12 + -12 = 0 0 + 16a = -36 + -12 16a = -36 + -12 Combine like terms: -36 + -12 = -48 16a = -48 Divide each side by '16'. a = -3 Simplifying a = -3
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