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Simplifying 3(7a + 8) + 6 = -18 + 5a Reorder the terms: 3(8 + 7a) + 6 = -18 + 5a (8 * 3 + 7a * 3) + 6 = -18 + 5a (24 + 21a) + 6 = -18 + 5a Reorder the terms: 24 + 6 + 21a = -18 + 5a Combine like terms: 24 + 6 = 30 30 + 21a = -18 + 5a Solving 30 + 21a = -18 + 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. 30 + 21a + -5a = -18 + 5a + -5a Combine like terms: 21a + -5a = 16a 30 + 16a = -18 + 5a + -5a Combine like terms: 5a + -5a = 0 30 + 16a = -18 + 0 30 + 16a = -18 Add '-30' to each side of the equation. 30 + -30 + 16a = -18 + -30 Combine like terms: 30 + -30 = 0 0 + 16a = -18 + -30 16a = -18 + -30 Combine like terms: -18 + -30 = -48 16a = -48 Divide each side by '16'. a = -3 Simplifying a = -3
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