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Simplifying 13k + 4 = 16k + -2 Reorder the terms: 4 + 13k = 16k + -2 Reorder the terms: 4 + 13k = -2 + 16k Solving 4 + 13k = -2 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. 4 + 13k + -16k = -2 + 16k + -16k Combine like terms: 13k + -16k = -3k 4 + -3k = -2 + 16k + -16k Combine like terms: 16k + -16k = 0 4 + -3k = -2 + 0 4 + -3k = -2 Add '-4' to each side of the equation. 4 + -4 + -3k = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -3k = -2 + -4 -3k = -2 + -4 Combine like terms: -2 + -4 = -6 -3k = -6 Divide each side by '-3'. k = 2 Simplifying k = 2
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