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Simplifying 6a + 3(5 + -2a + 8) = 3a + -3 Reorder the terms: 6a + 3(5 + 8 + -2a) = 3a + -3 Combine like terms: 5 + 8 = 13 6a + 3(13 + -2a) = 3a + -3 6a + (13 * 3 + -2a * 3) = 3a + -3 6a + (39 + -6a) = 3a + -3 Reorder the terms: 39 + 6a + -6a = 3a + -3 Combine like terms: 6a + -6a = 0 39 + 0 = 3a + -3 39 = 3a + -3 Reorder the terms: 39 = -3 + 3a Solving 39 = -3 + 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. 39 + -3a = -3 + 3a + -3a Combine like terms: 3a + -3a = 0 39 + -3a = -3 + 0 39 + -3a = -3 Add '-39' to each side of the equation. 39 + -39 + -3a = -3 + -39 Combine like terms: 39 + -39 = 0 0 + -3a = -3 + -39 -3a = -3 + -39 Combine like terms: -3 + -39 = -42 -3a = -42 Divide each side by '-3'. a = 14 Simplifying a = 14
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