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Simplifying 3a + 20 = 4 + -1a + k Reorder the terms: 20 + 3a = 4 + -1a + k Solving 20 + 3a = 4 + -1a + k Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 20 + 3a + a = 4 + -1a + a + k Combine like terms: 3a + a = 4a 20 + 4a = 4 + -1a + a + k Combine like terms: -1a + a = 0 20 + 4a = 4 + 0 + k 20 + 4a = 4 + k Add '-20' to each side of the equation. 20 + -20 + 4a = 4 + -20 + k Combine like terms: 20 + -20 = 0 0 + 4a = 4 + -20 + k 4a = 4 + -20 + k Combine like terms: 4 + -20 = -16 4a = -16 + k Divide each side by '4'. a = -4 + 0.25k Simplifying a = -4 + 0.25k
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