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Simplifying -39 + 2a = 3a + 8(1 + -6a) -39 + 2a = 3a + (1 * 8 + -6a * 8) -39 + 2a = 3a + (8 + -48a) Reorder the terms: -39 + 2a = 8 + 3a + -48a Combine like terms: 3a + -48a = -45a -39 + 2a = 8 + -45a Solving -39 + 2a = 8 + -45a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '45a' to each side of the equation. -39 + 2a + 45a = 8 + -45a + 45a Combine like terms: 2a + 45a = 47a -39 + 47a = 8 + -45a + 45a Combine like terms: -45a + 45a = 0 -39 + 47a = 8 + 0 -39 + 47a = 8 Add '39' to each side of the equation. -39 + 39 + 47a = 8 + 39 Combine like terms: -39 + 39 = 0 0 + 47a = 8 + 39 47a = 8 + 39 Combine like terms: 8 + 39 = 47 47a = 47 Divide each side by '47'. a = 1 Simplifying a = 1
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