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Simplifying 14 + -7k = 7(4k + -8) Reorder the terms: 14 + -7k = 7(-8 + 4k) 14 + -7k = (-8 * 7 + 4k * 7) 14 + -7k = (-56 + 28k) Solving 14 + -7k = -56 + 28k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-28k' to each side of the equation. 14 + -7k + -28k = -56 + 28k + -28k Combine like terms: -7k + -28k = -35k 14 + -35k = -56 + 28k + -28k Combine like terms: 28k + -28k = 0 14 + -35k = -56 + 0 14 + -35k = -56 Add '-14' to each side of the equation. 14 + -14 + -35k = -56 + -14 Combine like terms: 14 + -14 = 0 0 + -35k = -56 + -14 -35k = -56 + -14 Combine like terms: -56 + -14 = -70 -35k = -70 Divide each side by '-35'. k = 2 Simplifying k = 2
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