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Simplifying -4k + -5 = -7 + k + -8 Reorder the terms: -5 + -4k = -7 + k + -8 Reorder the terms: -5 + -4k = -7 + -8 + k Combine like terms: -7 + -8 = -15 -5 + -4k = -15 + k Solving -5 + -4k = -15 + 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. -5 + -4k + -1k = -15 + k + -1k Combine like terms: -4k + -1k = -5k -5 + -5k = -15 + k + -1k Combine like terms: k + -1k = 0 -5 + -5k = -15 + 0 -5 + -5k = -15 Add '5' to each side of the equation. -5 + 5 + -5k = -15 + 5 Combine like terms: -5 + 5 = 0 0 + -5k = -15 + 5 -5k = -15 + 5 Combine like terms: -15 + 5 = -10 -5k = -10 Divide each side by '-5'. k = 2 Simplifying k = 2
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