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Simplifying k + 4 + -1 = 4k + -12 Reorder the terms: 4 + -1 + k = 4k + -12 Combine like terms: 4 + -1 = 3 3 + k = 4k + -12 Reorder the terms: 3 + k = -12 + 4k Solving 3 + k = -12 + 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. 3 + k + -4k = -12 + 4k + -4k Combine like terms: k + -4k = -3k 3 + -3k = -12 + 4k + -4k Combine like terms: 4k + -4k = 0 3 + -3k = -12 + 0 3 + -3k = -12 Add '-3' to each side of the equation. 3 + -3 + -3k = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -3k = -12 + -3 -3k = -12 + -3 Combine like terms: -12 + -3 = -15 -3k = -15 Divide each side by '-3'. k = 5 Simplifying k = 5
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