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Simplifying 12 = a(20 + 0)(20 + -180) Combine like terms: 20 + 0 = 20 12 = a(20)(20 + -180) Combine like terms: 20 + -180 = -160 12 = a * 20(-160) Reorder the terms for easier multiplication: 12 = 20 * -160a Multiply 20 * -160 12 = -3200a Solving 12 = -3200a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3200a' to each side of the equation. 12 + 3200a = -3200a + 3200a Combine like terms: -3200a + 3200a = 0 12 + 3200a = 0 Add '-12' to each side of the equation. 12 + -12 + 3200a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3200a = 0 + -12 3200a = 0 + -12 Combine like terms: 0 + -12 = -12 3200a = -12 Divide each side by '3200'. a = -0.00375 Simplifying a = -0.00375
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