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Simplifying k + -7 = 4k + 8 Reorder the terms: -7 + k = 4k + 8 Reorder the terms: -7 + k = 8 + 4k Solving -7 + k = 8 + 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. -7 + k + -4k = 8 + 4k + -4k Combine like terms: k + -4k = -3k -7 + -3k = 8 + 4k + -4k Combine like terms: 4k + -4k = 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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