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Simplifying 3(2a + 6) = 2a + -6 + a Reorder the terms: 3(6 + 2a) = 2a + -6 + a (6 * 3 + 2a * 3) = 2a + -6 + a (18 + 6a) = 2a + -6 + a Reorder the terms: 18 + 6a = -6 + 2a + a Combine like terms: 2a + a = 3a 18 + 6a = -6 + 3a Solving 18 + 6a = -6 + 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. 18 + 6a + -3a = -6 + 3a + -3a Combine like terms: 6a + -3a = 3a 18 + 3a = -6 + 3a + -3a Combine like terms: 3a + -3a = 0 18 + 3a = -6 + 0 18 + 3a = -6 Add '-18' to each side of the equation. 18 + -18 + 3a = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 3a = -6 + -18 3a = -6 + -18 Combine like terms: -6 + -18 = -24 3a = -24 Divide each side by '3'. a = -8 Simplifying a = -8
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