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Simplifying -7 + -4k = k + 8 Reorder the terms: -7 + -4k = 8 + k Solving -7 + -4k = 8 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -7 + -4k + -1k = 8 + k + -1k Combine like terms: -4k + -1k = -5k -7 + -5k = 8 + k + -1k Combine like terms: k + -1k = 0 -7 + -5k = 8 + 0 -7 + -5k = 8 Add '7' to each side of the equation. -7 + 7 + -5k = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -5k = 8 + 7 -5k = 8 + 7 Combine like terms: 8 + 7 = 15 -5k = 15 Divide each side by '-5'. k = -3 Simplifying k = -3
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