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Simplifying 19 + 8k = 7 + 4k Solving 19 + 8k = 7 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 19 + 8k + -4k = 7 + 4k + -4k Combine like terms: 8k + -4k = 4k 19 + 4k = 7 + 4k + -4k Combine like terms: 4k + -4k = 0 19 + 4k = 7 + 0 19 + 4k = 7 Add '-19' to each side of the equation. 19 + -19 + 4k = 7 + -19 Combine like terms: 19 + -19 = 0 0 + 4k = 7 + -19 4k = 7 + -19 Combine like terms: 7 + -19 = -12 4k = -12 Divide each side by '4'. k = -3 Simplifying k = -3
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