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Simplifying 18 + k = -1(1 + 2k) + -2 18 + k = (1 * -1 + 2k * -1) + -2 18 + k = (-1 + -2k) + -2 Reorder the terms: 18 + k = -1 + -2 + -2k Combine like terms: -1 + -2 = -3 18 + k = -3 + -2k Solving 18 + k = -3 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 18 + k + 2k = -3 + -2k + 2k Combine like terms: k + 2k = 3k 18 + 3k = -3 + -2k + 2k Combine like terms: -2k + 2k = 0 18 + 3k = -3 + 0 18 + 3k = -3 Add '-18' to each side of the equation. 18 + -18 + 3k = -3 + -18 Combine like terms: 18 + -18 = 0 0 + 3k = -3 + -18 3k = -3 + -18 Combine like terms: -3 + -18 = -21 3k = -21 Divide each side by '3'. k = -7 Simplifying k = -7
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