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Simplifying (-2 + -1k) + -1(2k + 18) = (2k + 2) + -1(2k + 18) Remove parenthesis around (-2 + -1k) -2 + -1k + -1(2k + 18) = (2k + 2) + -1(2k + 18) Reorder the terms: -2 + -1k + -1(18 + 2k) = (2k + 2) + -1(2k + 18) -2 + -1k + (18 * -1 + 2k * -1) = (2k + 2) + -1(2k + 18) -2 + -1k + (-18 + -2k) = (2k + 2) + -1(2k + 18) Reorder the terms: -2 + -18 + -1k + -2k = (2k + 2) + -1(2k + 18) Combine like terms: -2 + -18 = -20 -20 + -1k + -2k = (2k + 2) + -1(2k + 18) Combine like terms: -1k + -2k = -3k -20 + -3k = (2k + 2) + -1(2k + 18) Reorder the terms: -20 + -3k = (2 + 2k) + -1(2k + 18) Remove parenthesis around (2 + 2k) -20 + -3k = 2 + 2k + -1(2k + 18) Reorder the terms: -20 + -3k = 2 + 2k + -1(18 + 2k) -20 + -3k = 2 + 2k + (18 * -1 + 2k * -1) -20 + -3k = 2 + 2k + (-18 + -2k) Reorder the terms: -20 + -3k = 2 + -18 + 2k + -2k Combine like terms: 2 + -18 = -16 -20 + -3k = -16 + 2k + -2k Combine like terms: 2k + -2k = 0 -20 + -3k = -16 + 0 -20 + -3k = -16 Solving -20 + -3k = -16 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -3k = -16 + 20 Combine like terms: -20 + 20 = 0 0 + -3k = -16 + 20 -3k = -16 + 20 Combine like terms: -16 + 20 = 4 -3k = 4 Divide each side by '-3'. k = -1.333333333 Simplifying k = -1.333333333
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