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Simplifying 2 + -1(a + 1)(4 + 5) = 29 Reorder the terms: 2 + -1(1 + a)(4 + 5) = 29 Combine like terms: 4 + 5 = 9 2 + -1(1 + a)(9) = 29 Reorder the terms for easier multiplication: 2 + -1 * 9(1 + a) = 29 Multiply -1 * 9 2 + -9(1 + a) = 29 2 + (1 * -9 + a * -9) = 29 2 + (-9 + -9a) = 29 Combine like terms: 2 + -9 = -7 -7 + -9a = 29 Solving -7 + -9a = 29 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -9a = 29 + 7 Combine like terms: -7 + 7 = 0 0 + -9a = 29 + 7 -9a = 29 + 7 Combine like terms: 29 + 7 = 36 -9a = 36 Divide each side by '-9'. a = -4 Simplifying a = -4
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