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Simplifying 9 = a(100) + k Reorder the terms for easier multiplication: 9 = 100a + k Solving 9 = 100a + k Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-100a' to each side of the equation. 9 + -100a = 100a + -100a + k Combine like terms: 100a + -100a = 0 9 + -100a = 0 + k 9 + -100a = k Add '-9' to each side of the equation. 9 + -9 + -100a = -9 + k Combine like terms: 9 + -9 = 0 0 + -100a = -9 + k -100a = -9 + k Divide each side by '-100'. a = 0.09 + -0.01k Simplifying a = 0.09 + -0.01k
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