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Simplifying 4k + 7 = 2(4K + -10) + 47 Reorder the terms: 7 + 4k = 2(4K + -10) + 47 Reorder the terms: 7 + 4k = 2(-10 + 4K) + 47 7 + 4k = (-10 * 2 + 4K * 2) + 47 7 + 4k = (-20 + 8K) + 47 Reorder the terms: 7 + 4k = -20 + 47 + 8K Combine like terms: -20 + 47 = 27 7 + 4k = 27 + 8K Solving 7 + 4k = 27 + 8K Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4k = 27 + -7 + 8K Combine like terms: 7 + -7 = 0 0 + 4k = 27 + -7 + 8K 4k = 27 + -7 + 8K Combine like terms: 27 + -7 = 20 4k = 20 + 8K Divide each side by '4'. k = 5 + 2K Simplifying k = 5 + 2K
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