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