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Simplifying ((2a + -1) * 2) + (a * 2) = 28 Reorder the terms: ((-1 + 2a) * 2) + (a * 2) = 28 Reorder the terms for easier multiplication: (2(-1 + 2a)) + (a * 2) = 28 ((-1 * 2 + 2a * 2)) + (a * 2) = 28 ((-2 + 4a)) + (a * 2) = 28 (-2 + 4a) + (a * 2) = 28 Remove parenthesis around (-2 + 4a) -2 + 4a + (a * 2) = 28 Reorder the terms for easier multiplication: -2 + 4a + (2a) = 28 Combine like terms: 4a + (2a) = 6a -2 + 6a = 28 Solving -2 + 6a = 28 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 + 6a = 28 + 2 Combine like terms: -2 + 2 = 0 0 + 6a = 28 + 2 6a = 28 + 2 Combine like terms: 28 + 2 = 30 6a = 30 Divide each side by '6'. a = 5 Simplifying a = 5
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