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Simplifying 5 + -2(k + 1) = 3k + 2 + -7k + 1 Reorder the terms: 5 + -2(1 + k) = 3k + 2 + -7k + 1 5 + (1 * -2 + k * -2) = 3k + 2 + -7k + 1 5 + (-2 + -2k) = 3k + 2 + -7k + 1 Combine like terms: 5 + -2 = 3 3 + -2k = 3k + 2 + -7k + 1 Reorder the terms: 3 + -2k = 2 + 1 + 3k + -7k Combine like terms: 2 + 1 = 3 3 + -2k = 3 + 3k + -7k Combine like terms: 3k + -7k = -4k 3 + -2k = 3 + -4k Add '-3' to each side of the equation. 3 + -3 + -2k = 3 + -3 + -4k Combine like terms: 3 + -3 = 0 0 + -2k = 3 + -3 + -4k -2k = 3 + -3 + -4k Combine like terms: 3 + -3 = 0 -2k = 0 + -4k -2k = -4k Solving -2k = -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -2k + 4k = -4k + 4k Combine like terms: -2k + 4k = 2k 2k = -4k + 4k Combine like terms: -4k + 4k = 0 2k = 0 Divide each side by '2'. k = 0 Simplifying k = 0
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