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Simplifying 13 + 4k + 6k + -7 = 14k + 12 + -4 + -6 Reorder the terms: 13 + -7 + 4k + 6k = 14k + 12 + -4 + -6 Combine like terms: 13 + -7 = 6 6 + 4k + 6k = 14k + 12 + -4 + -6 Combine like terms: 4k + 6k = 10k 6 + 10k = 14k + 12 + -4 + -6 Reorder the terms: 6 + 10k = 12 + -4 + -6 + 14k Combine like terms: 12 + -4 = 8 6 + 10k = 8 + -6 + 14k Combine like terms: 8 + -6 = 2 6 + 10k = 2 + 14k Solving 6 + 10k = 2 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. 6 + 10k + -14k = 2 + 14k + -14k Combine like terms: 10k + -14k = -4k 6 + -4k = 2 + 14k + -14k Combine like terms: 14k + -14k = 0 6 + -4k = 2 + 0 6 + -4k = 2 Add '-6' to each side of the equation. 6 + -6 + -4k = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -4k = 2 + -6 -4k = 2 + -6 Combine like terms: 2 + -6 = -4 -4k = -4 Divide each side by '-4'. k = 1 Simplifying k = 1
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