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Simplifying 4(3a + 6) + 2a + 27 = 22 Reorder the terms: 4(6 + 3a) + 2a + 27 = 22 (6 * 4 + 3a * 4) + 2a + 27 = 22 (24 + 12a) + 2a + 27 = 22 Reorder the terms: 24 + 27 + 12a + 2a = 22 Combine like terms: 24 + 27 = 51 51 + 12a + 2a = 22 Combine like terms: 12a + 2a = 14a 51 + 14a = 22 Solving 51 + 14a = 22 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 14a = 22 + -51 Combine like terms: 51 + -51 = 0 0 + 14a = 22 + -51 14a = 22 + -51 Combine like terms: 22 + -51 = -29 14a = -29 Divide each side by '14'. a = -2.071428571 Simplifying a = -2.071428571
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