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Simplifying -5k + -19 = 5 + -3k Reorder the terms: -19 + -5k = 5 + -3k Solving -19 + -5k = 5 + -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 + -5k + 3k = 5 + -3k + 3k Combine like terms: -5k + 3k = -2k -19 + -2k = 5 + -3k + 3k Combine like terms: -3k + 3k = 0 -19 + -2k = 5 + 0 -19 + -2k = 5 Add '19' to each side of the equation. -19 + 19 + -2k = 5 + 19 Combine like terms: -19 + 19 = 0 0 + -2k = 5 + 19 -2k = 5 + 19 Combine like terms: 5 + 19 = 24 -2k = 24 Divide each side by '-2'. k = -12 Simplifying k = -12
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