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Simplifying 13 + -1(2k + 1) = 2k + 1 + -1k + 1 Reorder the terms: 13 + -1(1 + 2k) = 2k + 1 + -1k + 1 13 + (1 * -1 + 2k * -1) = 2k + 1 + -1k + 1 13 + (-1 + -2k) = 2k + 1 + -1k + 1 Combine like terms: 13 + -1 = 12 12 + -2k = 2k + 1 + -1k + 1 Reorder the terms: 12 + -2k = 1 + 1 + 2k + -1k Combine like terms: 1 + 1 = 2 12 + -2k = 2 + 2k + -1k Combine like terms: 2k + -1k = 1k 12 + -2k = 2 + 1k Solving 12 + -2k = 2 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 12 + -2k + -1k = 2 + 1k + -1k Combine like terms: -2k + -1k = -3k 12 + -3k = 2 + 1k + -1k Combine like terms: 1k + -1k = 0 12 + -3k = 2 + 0 12 + -3k = 2 Add '-12' to each side of the equation. 12 + -12 + -3k = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -3k = 2 + -12 -3k = 2 + -12 Combine like terms: 2 + -12 = -10 -3k = -10 Divide each side by '-3'. k = 3.333333333 Simplifying k = 3.333333333
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