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Simplifying (a + -1)(3 + 2) + -4 = 1 Reorder the terms: (-1 + a)(3 + 2) + -4 = 1 Combine like terms: 3 + 2 = 5 (-1 + a)(5) + -4 = 1 Reorder the terms for easier multiplication: 5(-1 + a) + -4 = 1 (-1 * 5 + a * 5) + -4 = 1 (-5 + 5a) + -4 = 1 Reorder the terms: -5 + -4 + 5a = 1 Combine like terms: -5 + -4 = -9 -9 + 5a = 1 Solving -9 + 5a = 1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5a = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 5a = 1 + 9 5a = 1 + 9 Combine like terms: 1 + 9 = 10 5a = 10 Divide each side by '5'. a = 2 Simplifying a = 2
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