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Simplifying -2k + -19 = 3k + -1 Reorder the terms: -19 + -2k = 3k + -1 Reorder the terms: -19 + -2k = -1 + 3k Solving -19 + -2k = -1 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -19 + -2k + -3k = -1 + 3k + -3k Combine like terms: -2k + -3k = -5k -19 + -5k = -1 + 3k + -3k Combine like terms: 3k + -3k = 0 -19 + -5k = -1 + 0 -19 + -5k = -1 Add '19' to each side of the equation. -19 + 19 + -5k = -1 + 19 Combine like terms: -19 + 19 = 0 0 + -5k = -1 + 19 -5k = -1 + 19 Combine like terms: -1 + 19 = 18 -5k = 18 Divide each side by '-5'. k = -3.6 Simplifying k = -3.6
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