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Simplifying -5k + 13 = -19k + -15 + 16k Reorder the terms: 13 + -5k = -19k + -15 + 16k Reorder the terms: 13 + -5k = -15 + -19k + 16k Combine like terms: -19k + 16k = -3k 13 + -5k = -15 + -3k Solving 13 + -5k = -15 + -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. 13 + -5k + 3k = -15 + -3k + 3k Combine like terms: -5k + 3k = -2k 13 + -2k = -15 + -3k + 3k Combine like terms: -3k + 3k = 0 13 + -2k = -15 + 0 13 + -2k = -15 Add '-13' to each side of the equation. 13 + -13 + -2k = -15 + -13 Combine like terms: 13 + -13 = 0 0 + -2k = -15 + -13 -2k = -15 + -13 Combine like terms: -15 + -13 = -28 -2k = -28 Divide each side by '-2'. k = 14 Simplifying k = 14
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