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Simplifying -27 + 4a = 6(8a + 2) Reorder the terms: -27 + 4a = 6(2 + 8a) -27 + 4a = (2 * 6 + 8a * 6) -27 + 4a = (12 + 48a) Solving -27 + 4a = 12 + 48a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48a' to each side of the equation. -27 + 4a + -48a = 12 + 48a + -48a Combine like terms: 4a + -48a = -44a -27 + -44a = 12 + 48a + -48a Combine like terms: 48a + -48a = 0 -27 + -44a = 12 + 0 -27 + -44a = 12 Add '27' to each side of the equation. -27 + 27 + -44a = 12 + 27 Combine like terms: -27 + 27 = 0 0 + -44a = 12 + 27 -44a = 12 + 27 Combine like terms: 12 + 27 = 39 -44a = 39 Divide each side by '-44'. a = -0.8863636364 Simplifying a = -0.8863636364
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