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Simplifying 2(4a + -1) + -7a = 12 + -6 Reorder the terms: 2(-1 + 4a) + -7a = 12 + -6 (-1 * 2 + 4a * 2) + -7a = 12 + -6 (-2 + 8a) + -7a = 12 + -6 Combine like terms: 8a + -7a = 1a -2 + 1a = 12 + -6 Combine like terms: 12 + -6 = 6 -2 + 1a = 6 Solving -2 + 1a = 6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 1a = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 1a = 6 + 2 1a = 6 + 2 Combine like terms: 6 + 2 = 8 1a = 8 Divide each side by '1'. a = 8 Simplifying a = 8
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