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