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Simplifying 8(3a + 6) + 4 + 5k = 0 Reorder the terms: 8(6 + 3a) + 4 + 5k = 0 (6 * 8 + 3a * 8) + 4 + 5k = 0 (48 + 24a) + 4 + 5k = 0 Reorder the terms: 48 + 4 + 24a + 5k = 0 Combine like terms: 48 + 4 = 52 52 + 24a + 5k = 0 Solving 52 + 24a + 5k = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + 24a + -52 + 5k = 0 + -52 Reorder the terms: 52 + -52 + 24a + 5k = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 24a + 5k = 0 + -52 24a + 5k = 0 + -52 Combine like terms: 0 + -52 = -52 24a + 5k = -52 Add '-5k' to each side of the equation. 24a + 5k + -5k = -52 + -5k Combine like terms: 5k + -5k = 0 24a + 0 = -52 + -5k 24a = -52 + -5k Divide each side by '24'. a = -2.166666667 + -0.2083333333k Simplifying a = -2.166666667 + -0.2083333333k
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