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Simplifying -4k + 14 = 7(2 + -7k) Reorder the terms: 14 + -4k = 7(2 + -7k) 14 + -4k = (2 * 7 + -7k * 7) 14 + -4k = (14 + -49k) Add '-14' to each side of the equation. 14 + -14 + -4k = 14 + -14 + -49k Combine like terms: 14 + -14 = 0 0 + -4k = 14 + -14 + -49k -4k = 14 + -14 + -49k Combine like terms: 14 + -14 = 0 -4k = 0 + -49k -4k = -49k Solving -4k = -49k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '49k' to each side of the equation. -4k + 49k = -49k + 49k Combine like terms: -4k + 49k = 45k 45k = -49k + 49k Combine like terms: -49k + 49k = 0 45k = 0 Divide each side by '45'. k = 0 Simplifying k = 0
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