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Simplifying 2(4a + -1) + -7a = 7 + -2 Reorder the terms: 2(-1 + 4a) + -7a = 7 + -2 (-1 * 2 + 4a * 2) + -7a = 7 + -2 (-2 + 8a) + -7a = 7 + -2 Combine like terms: 8a + -7a = 1a -2 + 1a = 7 + -2 Combine like terms: 7 + -2 = 5 -2 + 1a = 5 Solving -2 + 1a = 5 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 = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 1a = 5 + 2 1a = 5 + 2 Combine like terms: 5 + 2 = 7 1a = 7 Divide each side by '1'. a = 7 Simplifying a = 7
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