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Simplifying k + -8 = 4k + 1 Reorder the terms: -8 + k = 4k + 1 Reorder the terms: -8 + k = 1 + 4k Solving -8 + k = 1 + 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. -8 + k + -4k = 1 + 4k + -4k Combine like terms: k + -4k = -3k -8 + -3k = 1 + 4k + -4k Combine like terms: 4k + -4k = 0 -8 + -3k = 1 + 0 -8 + -3k = 1 Add '8' to each side of the equation. -8 + 8 + -3k = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -3k = 1 + 8 -3k = 1 + 8 Combine like terms: 1 + 8 = 9 -3k = 9 Divide each side by '-3'. k = -3 Simplifying k = -3
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