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Simplifying 3[2a + 7] + 6 = 3a + 18 Reorder the terms: 3[7 + 2a] + 6 = 3a + 18 [7 * 3 + 2a * 3] + 6 = 3a + 18 [21 + 6a] + 6 = 3a + 18 Reorder the terms: 21 + 6 + 6a = 3a + 18 Combine like terms: 21 + 6 = 27 27 + 6a = 3a + 18 Reorder the terms: 27 + 6a = 18 + 3a Solving 27 + 6a = 18 + 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. 27 + 6a + -3a = 18 + 3a + -3a Combine like terms: 6a + -3a = 3a 27 + 3a = 18 + 3a + -3a Combine like terms: 3a + -3a = 0 27 + 3a = 18 + 0 27 + 3a = 18 Add '-27' to each side of the equation. 27 + -27 + 3a = 18 + -27 Combine like terms: 27 + -27 = 0 0 + 3a = 18 + -27 3a = 18 + -27 Combine like terms: 18 + -27 = -9 3a = -9 Divide each side by '3'. a = -3 Simplifying a = -3
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