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Simplifying 9 = a(-4 + -1(-2))(-4 + -1(-2)) + 1 Multiply -1 * -2 9 = a(-4 + 2)(-4 + -1(-2)) + 1 Combine like terms: -4 + 2 = -2 9 = a(-2)(-4 + -1(-2)) + 1 Multiply -1 * -2 9 = a * -2(-4 + 2) + 1 Combine like terms: -4 + 2 = -2 9 = a * -2(-2) + 1 Reorder the terms for easier multiplication: 9 = -2 * -2a + 1 Multiply -2 * -2 9 = 4a + 1 Reorder the terms: 9 = 1 + 4a Solving 9 = 1 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 9 + -4a = 1 + 4a + -4a Combine like terms: 4a + -4a = 0 9 + -4a = 1 + 0 9 + -4a = 1 Add '-9' to each side of the equation. 9 + -9 + -4a = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -4a = 1 + -9 -4a = 1 + -9 Combine like terms: 1 + -9 = -8 -4a = -8 Divide each side by '-4'. a = 2 Simplifying a = 2
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