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Simplifying -19 = 1 + -3k + -5 Reorder the terms: -19 = 1 + -5 + -3k Combine like terms: 1 + -5 = -4 -19 = -4 + -3k Solving -19 = -4 + -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 + 3k = -4 + -3k + 3k Combine like terms: -3k + 3k = 0 -19 + 3k = -4 + 0 -19 + 3k = -4 Add '19' to each side of the equation. -19 + 19 + 3k = -4 + 19 Combine like terms: -19 + 19 = 0 0 + 3k = -4 + 19 3k = -4 + 19 Combine like terms: -4 + 19 = 15 3k = 15 Divide each side by '3'. k = 5 Simplifying k = 5
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