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Simplifying K + -5k = 4(1 + -7k) + 2(-6k + -2) K + -5k = (1 * 4 + -7k * 4) + 2(-6k + -2) K + -5k = (4 + -28k) + 2(-6k + -2) Reorder the terms: K + -5k = 4 + -28k + 2(-2 + -6k) K + -5k = 4 + -28k + (-2 * 2 + -6k * 2) K + -5k = 4 + -28k + (-4 + -12k) Reorder the terms: K + -5k = 4 + -4 + -28k + -12k Combine like terms: 4 + -4 = 0 K + -5k = 0 + -28k + -12k K + -5k = -28k + -12k Combine like terms: -28k + -12k = -40k K + -5k = -40k Solving K + -5k = -40k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '5k' to each side of the equation. K + -5k + 5k = -40k + 5k Combine like terms: -5k + 5k = 0 K + 0 = -40k + 5k K = -40k + 5k Combine like terms: -40k + 5k = -35k K = -35k Simplifying K = -35k
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