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