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Simplifying 4k + 8 = 19k + -52 Reorder the terms: 8 + 4k = 19k + -52 Reorder the terms: 8 + 4k = -52 + 19k Solving 8 + 4k = -52 + 19k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19k' to each side of the equation. 8 + 4k + -19k = -52 + 19k + -19k Combine like terms: 4k + -19k = -15k 8 + -15k = -52 + 19k + -19k Combine like terms: 19k + -19k = 0 8 + -15k = -52 + 0 8 + -15k = -52 Add '-8' to each side of the equation. 8 + -8 + -15k = -52 + -8 Combine like terms: 8 + -8 = 0 0 + -15k = -52 + -8 -15k = -52 + -8 Combine like terms: -52 + -8 = -60 -15k = -60 Divide each side by '-15'. k = 4 Simplifying k = 4
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