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Simplifying 2(3a + -1) = a + 8 Reorder the terms: 2(-1 + 3a) = a + 8 (-1 * 2 + 3a * 2) = a + 8 (-2 + 6a) = a + 8 Reorder the terms: -2 + 6a = 8 + a Solving -2 + 6a = 8 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -2 + 6a + -1a = 8 + a + -1a Combine like terms: 6a + -1a = 5a -2 + 5a = 8 + a + -1a Combine like terms: a + -1a = 0 -2 + 5a = 8 + 0 -2 + 5a = 8 Add '2' to each side of the equation. -2 + 2 + 5a = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 5a = 8 + 2 5a = 8 + 2 Combine like terms: 8 + 2 = 10 5a = 10 Divide each side by '5'. a = 2 Simplifying a = 2
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