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Simplifying 6k(K + 4) + 3 = 5(k + -12) + 8 Reorder the terms: 6k(4 + K) + 3 = 5(k + -12) + 8 (4 * 6k + K * 6k) + 3 = 5(k + -12) + 8 (24k + 6kK) + 3 = 5(k + -12) + 8 Reorder the terms: 3 + 24k + 6kK = 5(k + -12) + 8 Reorder the terms: 3 + 24k + 6kK = 5(-12 + k) + 8 3 + 24k + 6kK = (-12 * 5 + k * 5) + 8 3 + 24k + 6kK = (-60 + 5k) + 8 Reorder the terms: 3 + 24k + 6kK = -60 + 8 + 5k Combine like terms: -60 + 8 = -52 3 + 24k + 6kK = -52 + 5k Solving 3 + 24k + 6kK = -52 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 3 + 24k + -5k + 6kK = -52 + 5k + -5k Combine like terms: 24k + -5k = 19k 3 + 19k + 6kK = -52 + 5k + -5k Combine like terms: 5k + -5k = 0 3 + 19k + 6kK = -52 + 0 3 + 19k + 6kK = -52 Add '-3' to each side of the equation. 3 + 19k + -3 + 6kK = -52 + -3 Reorder the terms: 3 + -3 + 19k + 6kK = -52 + -3 Combine like terms: 3 + -3 = 0 0 + 19k + 6kK = -52 + -3 19k + 6kK = -52 + -3 Combine like terms: -52 + -3 = -55 19k + 6kK = -55 Reorder the terms: 55 + 19k + 6kK = -55 + 55 Combine like terms: -55 + 55 = 0 55 + 19k + 6kK = 0 The solution to this equation could not be determined.
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