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Simplifying -20 + -5k = 1 + -2k Solving -20 + -5k = 1 + -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. -20 + -5k + 2k = 1 + -2k + 2k Combine like terms: -5k + 2k = -3k -20 + -3k = 1 + -2k + 2k Combine like terms: -2k + 2k = 0 -20 + -3k = 1 + 0 -20 + -3k = 1 Add '20' to each side of the equation. -20 + 20 + -3k = 1 + 20 Combine like terms: -20 + 20 = 0 0 + -3k = 1 + 20 -3k = 1 + 20 Combine like terms: 1 + 20 = 21 -3k = 21 Divide each side by '-3'. k = -7 Simplifying k = -7
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