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Simplifying -6 = a(400) + k Reorder the terms for easier multiplication: -6 = 400a + k Solving -6 = 400a + k Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-400a' to each side of the equation. -6 + -400a = 400a + -400a + k Combine like terms: 400a + -400a = 0 -6 + -400a = 0 + k -6 + -400a = k Add '6' to each side of the equation. -6 + 6 + -400a = 6 + k Combine like terms: -6 + 6 = 0 0 + -400a = 6 + k -400a = 6 + k Divide each side by '-400'. a = -0.015 + -0.0025k Simplifying a = -0.015 + -0.0025k
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