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Simplifying -1k + -7 = -5k + -6 Reorder the terms: -7 + -1k = -5k + -6 Reorder the terms: -7 + -1k = -6 + -5k Solving -7 + -1k = -6 + -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. -7 + -1k + 5k = -6 + -5k + 5k Combine like terms: -1k + 5k = 4k -7 + 4k = -6 + -5k + 5k Combine like terms: -5k + 5k = 0 -7 + 4k = -6 + 0 -7 + 4k = -6 Add '7' to each side of the equation. -7 + 7 + 4k = -6 + 7 Combine like terms: -7 + 7 = 0 0 + 4k = -6 + 7 4k = -6 + 7 Combine like terms: -6 + 7 = 1 4k = 1 Divide each side by '4'. k = 0.25 Simplifying k = 0.25
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