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Simplifying 2(4k + -2) + -2k = 7k + -2 Reorder the terms: 2(-2 + 4k) + -2k = 7k + -2 (-2 * 2 + 4k * 2) + -2k = 7k + -2 (-4 + 8k) + -2k = 7k + -2 Combine like terms: 8k + -2k = 6k -4 + 6k = 7k + -2 Reorder the terms: -4 + 6k = -2 + 7k Solving -4 + 6k = -2 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -4 + 6k + -7k = -2 + 7k + -7k Combine like terms: 6k + -7k = -1k -4 + -1k = -2 + 7k + -7k Combine like terms: 7k + -7k = 0 -4 + -1k = -2 + 0 -4 + -1k = -2 Add '4' to each side of the equation. -4 + 4 + -1k = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -1k = -2 + 4 -1k = -2 + 4 Combine like terms: -2 + 4 = 2 -1k = 2 Divide each side by '-1'. k = -2 Simplifying k = -2
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