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Simplifying 3a + 20 = 4a(15) + k Reorder the terms: 20 + 3a = 4a(15) + k Reorder the terms for easier multiplication: 20 + 3a = 4 * 15a + k Multiply 4 * 15 20 + 3a = 60a + k Solving 20 + 3a = 60a + k Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-60a' to each side of the equation. 20 + 3a + -60a = 60a + -60a + k Combine like terms: 3a + -60a = -57a 20 + -57a = 60a + -60a + k Combine like terms: 60a + -60a = 0 20 + -57a = 0 + k 20 + -57a = k Add '-20' to each side of the equation. 20 + -20 + -57a = -20 + k Combine like terms: 20 + -20 = 0 0 + -57a = -20 + k -57a = -20 + k Divide each side by '-57'. a = 0.350877193 + -0.01754385965k Simplifying a = 0.350877193 + -0.01754385965k
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